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Mathematical ring with well-behaved ideals
In mathematics, a Noetherian ring is a ring that satisfies the ascending chain condition on left and right ideals. If the chain condition is satisfied
Noetherian_ring
Index of articles associated with the same name
length. Noetherian objects are named after Emmy Noether, who was the first to study the ascending and descending chain conditions for rings. Specifically:
Noetherian
Concept in commutative algebra
quasi-excellent ring is a Noetherian commutative ring that behaves well with respect to the operation of completion, and is called an excellent ring if it is
Excellent_ring
In mathematics, dimension of a ring
finite even for a Noetherian ring. More generally the Krull dimension can be defined for modules over possibly non-commutative rings as the deviation of
Krull_dimension
Type of commutative ring in mathematics
property. For Noetherian local rings, there is the following chain of inclusions. Universally catenary rings ⊃ Cohen–Macaulay rings ⊃ Gorenstein rings ⊃ complete
Cohen–Macaulay_ring
Concept in algebraic geometry
is a Noetherian ring. More generally, a scheme is locally Noetherian if it is covered by spectra of Noetherian rings. Thus, a scheme is Noetherian if and
Noetherian_scheme
In commutative algebra, a G-ring or Grothendieck ring is a Noetherian ring such that the map of any of its local rings to the completion is regular (defined
G-ring
Mathematical problem in ring theory
conjecture is an open problem in ring theory concerning the intersection of powers of the Jacobson radical of a Noetherian ring. It has only been proven for
Jacobson's_conjecture
Polynomial ideals are finitely generated
ideals have this property are called Noetherian rings. Every field, and the ring of integers are Noetherian rings. So, the theorem can be generalized and
Hilbert's_basis_theorem
Construction in commutative algebra
interpolates between R and its associated graded ring grIR. Assume R is Noetherian; then R[It] is also Noetherian. The Krull dimension of the Rees algebra is
Rees_algebra
Topological space in which closed subsets satisfy the descending chain condition
commutative Noetherian ring, then Spec(R), the prime spectrum of R, is a Noetherian topological space. More generally, a Noetherian scheme is a Noetherian topological
Noetherian_topological_space
Branch of algebra that studies commutative rings
commutative ring R is Noetherian, the same is true for every polynomial ring over it, and for every quotient ring, localization, or completion of the ring. The
Commutative_algebra
In algebra, completion w.r.t. powers of an ideal
of the ring; by the Krull intersection theorem, this is the case for any commutative Noetherian ring which is an integral domain or a local ring. There
Completion_of_a_ring
In algebra, expression of an ideal as the intersection of ideals of a specific type
mathematics, the Lasker–Noether theorem states that every Noetherian ring is a Lasker ring, which means that every ideal can be decomposed as an intersection
Primary_decomposition
Algebraic structure with addition and multiplication
ring Lie ring Local ring Noetherian and artinian rings Ordered ring Poisson ring Reduced ring Regular ring Ring of periods SBI ring Valuation ring and discrete
Ring_(mathematics)
Mathematical object in abstract algebra
extensions, and turn out to be minimal injective extensions. Over a Noetherian ring, every injective module is uniquely a direct sum of indecomposable
Injective_module
Algebraic structure
discrete valuation ring. A noetherian ring is a Krull domain if and only if it is an integrally closed domain. In the non-noetherian setting, one has the
Integrally_closed_domain
Abstract algebra module
Noetherian module. Any module that is finite as a set is Noetherian. Any finitely generated right module over a right Noetherian ring is a Noetherian
Noetherian_module
Algebraic structure
commutative rings, similar to the role of the finite-dimensional vector spaces in linear algebra. In particular, Noetherian rings (see also § Noetherian rings, below)
Commutative_ring
Branch of algebra
noncommutative rings, especially noncommutative Noetherian rings. For the definitions of a ring and basic concepts and their properties, see Ring (mathematics)
Ring_theory
Type of ring in commutative algebra
In commutative algebra, a regular local ring is a Noetherian local ring having the property that the minimal number of generators of its maximal ideal
Regular_local_ring
and his former advisor Emil Artin, states: Let A be a commutative Noetherian ring and B ⊂ C {\displaystyle B\subset C} commutative algebras over A. If
Artin–Tate_lemma
Local ring in commutative algebra
In commutative algebra, a Gorenstein local ring is a commutative Noetherian local ring R with finite injective dimension as an R-module. There are many
Gorenstein_ring
(Mathematical) ring with a unique maximal ideal
required that a local ring be (left and right) Noetherian, and (possibly non-Noetherian) local rings were called quasi-local rings. In this article this
Local_ring
Minimal element in the set of prime ideals ordered by inclusion
ideal over the zero ideal. A minimal prime ideal over an ideal I in a Noetherian ring R is precisely a minimal associated prime (also called isolated prime)
Minimal_prime_ideal
Study of dimension in algebraic geometry
rings, the lack of geometric interpretation is an obstacle to the development of the theory; in particular, very little is known for non-Noetherian rings
Dimension_theory_(algebra)
Ring in abstract algebra
full matrix ring M n ( R ) {\displaystyle M_{n}(R)} over a left Artinian (resp. left Noetherian) ring R is left Artinian (resp. left Noetherian). The following
Artinian_ring
Module which satisfies the descending chain condition on submodules
Artinian ring is Artinian. Since an Artinian ring is also a Noetherian ring, and finitely-generated modules over a Noetherian ring are Noetherian, it is
Artinian_module
German mathematician (1882–1935)
example, finite direct sums of Noetherian rings are Noetherian, as is the ring of formal power series over a Noetherian ring. Another application of such
Emmy_Noether
torsion-free quotient of M by a free submodule. Buchsbaum ring A Buchsbaum ring is a Noetherian local ring such that every system of parameters is a weak sequence
Glossary of commutative algebra
Glossary_of_commutative_algebra
Algebraic structure
Goldie's theorem applies to semiprime right Noetherian rings, since by definition right Noetherian rings have the ascending chain condition on all right
Noncommutative_ring
Prime ideal that is an annihilator of a prime submodule
the Lasker–Noether primary decomposition of ideals in commutative Noetherian rings. Specifically, if an ideal J is decomposed as a finite intersection
Associated_prime
In algebra, module with a finite generating set
modules and coherent modules all of which are defined below. Over a Noetherian ring the concepts of finitely generated, finitely presented and coherent
Finitely_generated_module
Concept in ring theory and homological algebra
theory of Noetherian rings. By a theorem of Jean-Pierre Serre, global dimension can be used to characterize within the class of commutative Noetherian local
Global_dimension
catenary rings ⊃ Cohen–Macaulay rings ⊃ Gorenstein rings ⊃ complete intersection rings ⊃ regular local rings Suppose that A is a Noetherian domain and
Catenary_ring
About extensions of one-dimensional Noetherian rings (commutative algebra)
states the following: Let A be a one-dimensional reduced noetherian ring, K its total ring of fractions. Suppose L is a finite extension of K. If A ⊂
Krull–Akizuki_theorem
Theorem in abstract algebra
{\displaystyle A} , if B {\displaystyle B} is a Noetherian ring, then A {\displaystyle A} is a Noetherian ring. (Note the converse is also true and is easier
Eakin–Nagata_theorem
an analytically ramified reduced local ring. Krull showed that every 1-dimensional normal Noetherian local ring is analytically unramified; more precisely
Analytically_unramified_ring
Mathematical element
in particular, a noetherian ring. This is a consequence of the Krull–Akizuki theorem. In general, the integral closure of a noetherian domain of dimension
Integral_element
Submodule of a mathematical ring
in a Noetherian ring R {\displaystyle R} is called a perfect ideal if its grade equals the projective dimension of the associated quotient ring, grade
Ideal_(ring_theory)
Algebraic structure
\mathbb {Z} [X_{1},\ldots ,X_{n}]} are Noetherian rings; this is Hilbert's basis theorem. If R is a Noetherian ring, then dim R [ X ] = 1 + dim R , {\displaystyle
Polynomial_ring
Algebraic structure in ring theory
In particular, if S {\displaystyle S} is a Noetherian ring, then R {\displaystyle R} is also Noetherian. The second-last condition can be stated in the
Flat_module
Algebraic structure
Noetherian rings can be extended to finitely presented modules over coherent rings. Every left Noetherian ring is left coherent. The ring of polynomials
Coherent_ring
Jacobson radical of a left-and-right Noetherian ring is precisely 0. Kaplansky's conjectures Köthe conjecture: if a ring has no nil ideal other than { 0 }
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
theorem, introduced by Dorin Popescu, states: Let A be a Noetherian ring and B a Noetherian algebra over it. Then, the structure map A → B is a regular
Popescu's_theorem
Ideal in a ring which has properties similar to prime elements
commutative ring (partially ordered by inclusion) has maximal and minimal elements. Theorem (I. Cohen): A commutative ring is noetherian if and only if
Prime_ideal
Ideal of the nilpotent elements
of the ring. In general, if the nilradical is finitely generated (i.e., the ring is Noetherian), then it is nilpotent. For noncommutative rings, there
Nilradical_of_a_ring
of roughly as the local rings that can be defined using the "minimum possible" number of relations. For Noetherian local rings, there is the following
Complete_intersection_ring
Branch of mathematics
publication gave rise to the term "Noetherian ring", and several other mathematical objects being called Noetherian. Noted algebraist Irving Kaplansky
Abstract_algebra
mathematics, the Artin–Rees lemma is a basic result about modules over a Noetherian ring, along with results such as the Hilbert basis theorem. It was proved
Artin–Rees_lemma
Concept in commutative algebra
By Krull's intersection theorem, if R is a Noetherian ring which is an integral domain or a local ring, it holds that ⋂ n > 0 a n = 0 {\displaystyle
I-adic_topology
Type of space in mathematics
locally Noetherian formal schemes. All rings will be assumed to be commutative and with unit. Let A be a (Noetherian) topological ring, that is, a ring A which
Formal_scheme
American mathematician (1917–1955)
local rings. He was a student of Oscar Zariski at Johns Hopkins University. In his thesis he proved the Cohen structure theorem for complete Noetherian local
Irvin_Cohen
Concept in commutative algebra
notion of primary ideals is important in commutative ring theory because every ideal of a Noetherian ring has a primary decomposition, that is, can be written
Primary_ideal
or a pseudo-geometric ring if it is Noetherian and universally Japanese (or, which turns out to be the same, if it is Noetherian and all of its quotients
Nagata_ring
commutative ring that is analogous to the canonical bundle of a smooth variety. It is used in Grothendieck local duality. A dualizing module for a Noetherian ring
Dualizing_module
Noetherian ring in algebra
the theory of commutative rings, a quasi-unmixed ring (also called a formally equidimensional ring in EGA) is a Noetherian ring A {\displaystyle A} such
Quasi-unmixed_ring
Theorem in commutative algebra
gives a bound on the height of a principal ideal in a commutative Noetherian ring. The theorem is sometimes referred to by its German name, Krulls Hauptidealsatz
Krull's principal ideal theorem
Krull's_principal_ideal_theorem
algebraic geometry, a geometrically regular ring is a Noetherian ring over a field that remains a regular ring after any finite extension of the base field
Geometrically_regular_ring
Mathematical concept in dimension theory of local rings
In mathematics, a system of parameters for a local Noetherian ring of Krull dimension d with maximal ideal m is a set of elements x1, ..., xd that satisfies
System_of_parameters
Theorem in algebra
duality between Artinian and Noetherian modules over a complete Noetherian local ring. In the special case when the local ring contains a field mapping to
Matlis_duality
Integral domain in which the sum of two principal ideals is again a principal ideal
domain (PID) is a Bézout domain, but a Bézout domain need not be a Noetherian ring, so it could have non-finitely generated ideals; if so, it is not a
Bézout_domain
In algebraic geometry, a Noetherian local ring R is called parafactorial if it has depth at least 2 and the Picard group Pic(Spec(R) − m) of its spectrum
Parafactorial_local_ring
Would relate vector bundles over a regular Noetherian ring and over a polynomial ring
Bass–Quillen conjecture relates vector bundles over a regular Noetherian ring A and over the polynomial ring A [ t 1 , … , t n ] {\displaystyle A[t_{1},\dots ,t_{n}]}
Bass–Quillen_conjecture
In algebra, a commutative Noetherian ring A is said to have the approximation property with respect to an ideal I if each finite system of polynomial
Approximation property (ring theory)
Approximation_property_(ring_theory)
Concept in algebraic geometry
bundle L on a proper scheme X over a field (or more generally over a Noetherian ring) is ample if and only if for every coherent sheaf F on X, there is
Ample_line_bundle
Commutative group (mathematics)
surjective, and its kernel is finitely generated (since integers form a Noetherian ring). Consider the matrix M with integer entries, such that the entries
Abelian_group
Japanese mathematician
rings contains several other counterexamples he found, such as a commutative Noetherian ring that is not catenary, and a commutative Noetherian ring of
Masayoshi_Nagata
Direct summand of a free module (mathematics)
the ring). The converse is true for finitely generated modules over Noetherian rings: a finitely generated module over a commutative Noetherian ring is
Projective_module
Mathematical concept
zero-divisors. A Noetherian integral domain is a Dedekind ring if every overring of the Noetherian ring is integrally closed. Every overring of a Noetherian integral
Overring
mathematics, the Lasker–Noether theorem states that every Noetherian ring is a Lasker ring, which means that every ideal can be decomposed as an intersection
List of inventions and discoveries by women
List_of_inventions_and_discoveries_by_women
Generalization of algebraic variety
of rings. The cases of main interest are the Noetherian schemes, in which the coordinate rings are Noetherian rings. Formally, a scheme is a ringed space
Scheme_(mathematics)
specifically ring theory and the theory of nil ideals, Levitzky's theorem, named after Jacob Levitzki, states that in a right Noetherian ring, every nil
Levitzky's_theorem
Direct sum of irreducible modules
R, that is, R is a left Kasch ring. Semisimple rings are both Artinian and Noetherian. From the above properties, a ring is semisimple if and only if it
Semisimple_module
ideals. If a ring is both left and right Artinian, it is called Artinian. Artinian rings are Noetherian rings. associate In a commutative ring, an element
Glossary_of_ring_theory
Ideal ring structure
case of commutative rings) but may properly contain it, even in the commutative case. However, the singular radical of a Noetherian ring is always nilpotent
Radical_of_a_ring
Mathematical concept
inverses in the ring are two-sided. Numerous examples of Dedekind-finite rings include commutative rings, finite rings, and Noetherian rings. A ring R {\displaystyle
Dedekind-finite_ring
In commutative algebra, a Zariski ring is a commutative Noetherian topological ring A whose topology is defined by an ideal a {\displaystyle {\mathfrak
Zariski_ring
Result in ring theory
Goldie's theorem applies to semiprime right Noetherian rings, since by definition right Noetherian rings have the ascending chain condition on all right
Goldie's_theorem
of closed points in it. (For Noetherian rings R): R has no prime ideals P such that R/P is a 1-dimensional semi-local ring. Kaplansky, Theorem 31 Amitsur
Jacobson_ring
also generate the unit ideal. If R {\displaystyle R} is a commutative Noetherian ring of Krull dimension d {\displaystyle d} , then the stable range of R
Stable_range_condition
Generalization of vector bundles
R {\displaystyle R} a Noetherian N {\displaystyle \mathbb {N} } -graded ring, be a projective scheme over a Noetherian ring R 0 {\displaystyle R_{0}}
Coherent_sheaf
Algebraic variety in a projective space
corollary to 1. above, if f is a projective morphism from a noetherian scheme to a noetherian ring, then the higher direct image R p f ∗ F {\displaystyle R^{p}f_{*}{\mathcal
Projective_variety
group can be Noetherian but not Artinian, such as the infinite cyclic group, and unlike for rings, a group can be Artinian but not Noetherian, such as the
Subgroup_series
Algebraic ring classification
ring in general as a quasi-semi-local ring, using semi-local ring to refer to a Noetherian ring with finitely many maximal ideals. A semi-local ring is
Semi-local_ring
Open problem in ring theory (mathematics)
shown to be true for various classes of rings, such as polynomial identity rings and right Noetherian rings, but a general solution remains elusive.
Köthe_conjecture
introduced by Cohen (1946), describes the structure of complete Noetherian local rings. Some consequences of Cohen's structure theorem include three conjectures
Cohen_structure_theorem
of the theorem is: a right Artinian ring is also right Noetherian. The analogous statement for left Artinian rings holds as well. This is not true in general
Hopkins–Levitzki_theorem
Ring without non-zero nilpotent elements
quotient rings. Let D be the set of all zero-divisors in a reduced ring R. Then D is the union of all minimal prime ideals. Over a Noetherian ring R, we
Reduced_ring
Algebraic structure with "nice" duality properties
1958). Frobenius algebras were generalized to quasi-Frobenius rings, those Noetherian rings whose right regular representation is injective. In recent times
Frobenius_algebra
automorphism and R is a left Noetherian ring then the Ore extension R[λ; σ, δ ] is also left Noetherian. An element f of an Ore ring R is called twosided (or
Ore_extension
are covered by the spectra of Noetherian rings. The fact that localizations of a Noetherian ring are still noetherian then means that the property of
Glossary of algebraic geometry
Glossary_of_algebraic_geometry
Mathematical construction
functions at the origin is a non-Noetherian ring. The Krull intersection theorem says that this cannot happen for a Noetherian ring.) On an affine scheme X =
Stalk_(sheaf)
Order whose elements are all comparable
that every ascending chain eventually stabilizes. For example, a Noetherian ring is a ring whose ideals satisfy the ascending chain condition. In other contexts
Total_order
Skolem–Noether theorem Noetherian Noetherian group Noetherian induction Noetherian module Noetherian ring Noetherian scheme Noetherian topological space "Noether
List of things named after Emmy Noether
List_of_things_named_after_Emmy_Noether
maximal ideal is generated by p. Cohen rings are used in the Cohen structure theorem for complete Noetherian local rings. Norm field Cohen, I. S. (1946), "On
Cohen_ring
Theorem of algebraic geometry and commutative algebra
local rings. Grothendieck (1961, Théorème 4.4.7) generalized Zariski's formulation as follows: If B is an algebra of finite type over a local Noetherian ring
Zariski's_main_theorem
the same problems where "field" is replaced by "commutative ring", or "typically Noetherian integral domain". In the case of a single equation, the problem
Linear_equation_over_a_ring
gives necessary and sufficient conditions for a commutative Noetherian ring A to be a normal ring. The criterion involves the following two conditions for
Serre's criterion for normality
Serre's_criterion_for_normality
Condition in commutative algebra
{Z} } is a Noetherian ring. Artinian Ascending chain condition for principal ideals Krull dimension Maximal condition on congruences Noetherian Proof: first
Ascending_chain_condition
NOETHERIAN RING
NOETHERIAN RING
Surname or Lastname
English
English : habitational name from places in Cumbria, Lincolnshire, and Northamptonshire. The first gets its name from Old English HaferingtÅ«n ‘settlement (Old English tÅ«n) associated with someone called Hæfer’, a byname meaning ‘he-goat’. The second probably meant ‘settlement (Old English tÅ«n) of someone called Hæring’. Alternatively, the first element may have been Old English hæring ‘stony place’ or hÄring ‘gray wood’. The last, recorded in Domesday Book as Arintone and in 1184 as Hederingeton, is most probably named with an unattested Old English personal name, Heathuhere.Irish (County Kerry and the West) : adopted as an Anglicized form of Gaelic Ó hArrachtáin ‘descendant of Arrachtán’, a personal name from a diminutive of arrachtach ‘mighty’, ‘powerful’.Irish (County Kerry) : adopted as an Anglicized form of Gaelic Ó hIongardail, later Ó hUrdáil, ‘descendant of Iongardal’.Irish : reduced Anglicized form of Gaelic Ó hOireachtaigh ‘descendant of Oireachtach’, a byname meaning ‘member of the assembly’ or ‘frequenting assemblies’.
Surname or Lastname
English
English : of uncertain origin. It is first attested in Norwich in 1259 as Ringerose, and later forms show no significant variantion. Unless it had already been drastically altered by folk etymology at that early date, it is probably from Middle English ring ‘ring’ + rose ‘rose’, but if so the original meaning is far from clear.
Boy/Male
Tamil
Sitadevi | ஸீதாதேவீ
Mudrapradayaka deliverer of the ring of Sita
Sitadevi | ஸீதாதேவீ
Surname or Lastname
English
English : patronymic from Dear 1.German : probably a variant of Döring (see Doering).
Surname or Lastname
English, German, and Jewish (Ashkenazic)
English, German, and Jewish (Ashkenazic) : from the Middle English, German, or Yiddish elements gold + ring. As an English or German surname it is most probably a nickname for someone who wore a gold ring. As a Jewish surname it is generally an ornamental name.Scottish : habitational name from Goldring in the bailiary of Kylestewart.The name is found in England as early as 1230, when Thomas Goldring is recorded as holding property in Essex and Hertfordshire. The name was quite common in London, Sussex, and Hampshire from early times, and descendants of these bearers are now also well established in Canada. The first known bearer in Scotland is Thomas of Goldringe, who held land in Prestwick in 1511.
Surname or Lastname
English
English : from the Old English personal name Hringwulf.German : from a short form of a Germanic personal name based on hring ‘ring’.German : metonymic occupational name for a ring maker (see Ringler).German : altered spelling of Ringel, an Old Prussian personal name.
Boy/Male
Tamil
Ramachudamaniprada | ரமசஂதாநீபà¯à®°à®¤à®¾
Deliverer of ramas ring
Ramachudamaniprada | ரமசஂதாநீபà¯à®°à®¤à®¾
Surname or Lastname
English and German
English and German : variant of Ring 1.Perhaps a Rhenish short form of the Latin personal name Quirinus.
Surname or Lastname
English
English : habitational name from places in Oxfordshire and West Sussex named Goring, from Old English GÄringas ‘people of GÄra’, a short form of the various compound names with the first element gÄr ‘spear’.German (Göring) : see Goering.
Boy/Male
Australian, British, English, French, German, Japanese
Ring; Apple; Peace be with You
Boy/Male
English
Ring.
Surname or Lastname
English, German, and Dutch
English, German, and Dutch : metonymic occupational name for a maker of rings (from Middle English ring, Middle High German rinc, Middle Dutch ring), either to be worn as jewelry or as component parts of chain-mail, harnesses, and other objects. In part it may also have arisen as a nickname for a wearer of a ring.Scandinavian : from ring ‘ring’, probably an ornamental name but possibly applied in the same sense as 3 or 1.German : topographic name from Middle High German, Middle Low German rink, rinc ‘circle’.Irish (eastern County Cork) : reduced Anglicized form of Gaelic Ó Rinn (see Reen).
Surname or Lastname
English
English : patronymic from Dear 1.German (Döring) : see Doering.
Surname or Lastname
English
English : variant of Hurst.Jewish (Ashkenazic) : ornamental name or nickname from Polish herszt ‘ringleader’, ‘chieftain’.
Girl/Female
Muslim
A ring
Girl/Female
Tamil
Mudrika | மூதà¯à®°à®¿à®•à®¾
Ring
Mudrika | மூதà¯à®°à®¿à®•à®¾
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : from the Old French personal name Reinger, Rainger, composed of the Germanic elements ragin ‘advice’, ‘counsel’ + gÄr, gÄ“r ‘spear’, ‘lance’.English : occupational name for a maker of rings (see Ring 1) or for a bell ringer, from Middle English ring(en) ‘to ring’, Old English hringan.German : occupational name for a turner, someone who made objects by rotating them on a lathe or wheel.
Girl/Female
Tamil
Anamika | அநாமிகா
Ring finger, Virtuous, Free of the limitations imposed by a name
Anamika | அநாமிகா
Surname or Lastname
English
English : variant of Kestel.German : from Middle High German kezzel ‘kettle’, ‘cauldron’, hence a metonymic occupational name for a maker of copper cooking vessels, or alternatively a topographic and habitational name, from the same word in the sense ‘(ring-shaped) hollow’.Dutch and Belgian : habitational name from any of the places so named in the Belgian provinces of Antwerp and Limburg or the Dutch province of North Brabant.
Girl/Female
Tamil
Anumika | அநà¯à®‚மிகாÂ
Ring finger
NOETHERIAN RING
NOETHERIAN RING
Boy/Male
Hindu, Indian, Sanskrit
Soham; God
Boy/Male
Indian
Lord Sai and Lord Ganesha; Lord Vinayaka
Girl/Female
Indian
Charitable
Boy/Male
Muslim
Height, Altitude, Elevation
Boy/Male
Indian, Punjabi, Sikh
Protected by Kindness
Boy/Male
Hindu, Indian, Latin
Small
Girl/Female
Hindu
Spiritual, Sacred, Divine
Boy/Male
Indian
God of the Dawn
Boy/Male
Tamil
Born of mind
Girl/Female
American, Australian, French
Rebirth; Beautiful; Having of Love and Beautiful
NOETHERIAN RING
NOETHERIAN RING
NOETHERIAN RING
NOETHERIAN RING
NOETHERIAN RING
n.
One in charge of the performances (as of horses) within the ring in a circus.
a.
Having a well defined ring of color around the neck.
a.
Encircled or marked with, or as with, a ring or rings.
n.
A small ring; a small circle; specifically, a fairy ring.
a.
Having the lips widely separated and gaping like an open mouth; as a ringent bilabiate corolla.
n.
The ringed dotterel, or ring plover.
adv.
In a ringing manner.
n.
One who, or that which, rings; especially, one who rings chimes on bells.
a.
Ring-streaked.
n.
A contagious affection of the skin due to the presence of a vegetable parasite, and forming ring-shaped discolored patches covered with vesicles or powdery scales. It occurs either on the body, the face, or the scalp. Different varieties are distinguished as Tinea circinata, Tinea tonsurans, etc., but all are caused by the same parasite (a species of Trichophyton).
a.
Having circular streaks or lines on the body; as, ring-streaked goats.
n.
The ring-necked duck.
n.
A game in which the object is to toss a ring so that it will catch upon an upright stick.
n.
The ring finger.
n.
Any one of several species of small plovers of the genus Aegialitis, having a ring around the neck. The ring is black in summer, but becomes brown or gray in winter. The semipalmated plover (Ae. semipalmata) and the piping plover (Ae. meloda) are common North American species. Called also ring plover, and ring-necked plover.
pl.
of Ringman
a.
Wearning a wedding ring; hence, lawfully wedded.
n.
A light sail set abaft and beyong the leech of a boom-and-gaff sail; -- called also ringsail.
n.
See Ringtail, 2.