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See searches and references containing SINGULAR SUBMODULE!SINGULAR SUBMODULE
theory and module theory, each right (resp. left) R-module M has a singular submodule consisting of elements whose annihilators are essential right (resp
Singular_submodule
associative algebra that is a simple ring. singular submodule The right (resp. left) R-module M has a singular submodule if it consists of elements whose annihilators
Glossary_of_ring_theory
Type of algebraic structure
also belong to I {\displaystyle I} . (Equivalently, if it is a graded submodule of R {\displaystyle R} ; see § Graded module.) The intersection of
Graded_ring
Branch of mathematics that studies algebraic structures
Annihilator (ring theory) Submodule Pure submodule Module homomorphism Essential submodule Superfluous submodule Singular submodule Socle of a module Radical
List of abstract algebra topics
List_of_abstract_algebra_topics
Cohomology theory for topological spaces
) {\displaystyle C^{p}(X)} consisting of locally zero functions is a submodule, denote by C 0 p ( X ) {\displaystyle C_{0}^{p}(X)} . C 0 ∗ ( X ) = {
Alexander–Spanier_cohomology
Algebra describing 2D conformal symmetry
Verma module by its maximal submodule. A Verma module is irreducible if and only if it has no singular vectors. A singular vector or null vector of a highest
Virasoro_algebra
residue field. essential 1. A submodule M of N is called an essential submodule if it intersects every nonzero submodule of N. 2. An essential extension
Glossary of commutative algebra
Glossary_of_commutative_algebra
Algebra with unique prime factorization
order of the factors. (M2) The torsion submodule is a direct summand. That is, there exists a complementary submodule P {\displaystyle P} of M {\displaystyle
Dedekind_domain
On polynomial rings over fields
instance of the theorem asserting that over a principal ideal ring, every submodule of a free module is itself free. The Koszul complex, also called "complex
Hilbert's_syzygy_theorem
Tools for studying groups based on techniques from algebraic topology
M additively. Given such a G-module M, it is natural to consider the submodule of G-invariant elements: M G = { x ∈ M | ∀ g ∈ G : g x = x } . {\displaystyle
Group_cohomology
Representation of a quantum group
(L,B)} , such that L {\displaystyle L} is a free A {\displaystyle A} -submodule of M {\displaystyle M} such that M = Q ( q ) ⊗ A L ; {\displaystyle M=\mathbb
Crystal_base
Algebraic structure
for the divisor class of d. If F , F ′ {\displaystyle F,F'} are maximal submodules of M, then c ( χ ( M / F ) ) = c ( χ ( M / F ′ ) ) {\displaystyle c(\chi
Integrally_closed_domain
Branch of mathematics
principal ideal domain. In particular, over a principal ideal domain, every submodule of a free module is free, and the fundamental theorem of finitely generated
Linear_algebra
Geometric arrangements of points, foundational to Lie theory
y\rangle } is preserved. The root lattice of a root system Φ is the Z-submodule of E generated by Φ. It is a lattice in E. The group of isometries of E
Root_system
{\displaystyle M_{s_{\alpha }\cdot \lambda }} is isomorphic to a unique submodule of M λ {\displaystyle M_{\lambda }} . In (1), we identified M s α ⋅ λ
Generalized_Verma_module
General concept and operation in mathematics
epimorphisms vs. monomorphism, in particular factor modules (or groups etc.) vs. submodules, direct products vs. direct sums (also called coproducts to emphasize
Duality_(mathematics)
Objects in representation theory of Lie algebras
W_{\lambda }.} W λ {\displaystyle W_{\lambda }} contains a unique maximal submodule, and its quotient is the unique (up to isomorphism) irreducible representation
Verma_module
Algebraic structure
such that every submodule of a module of finite type is also of finite type. Ideals of a ring R {\displaystyle R} are the submodules of R {\displaystyle
Commutative_ring
Mathematical construct in computer algebra
{\displaystyle e_{1},\ldots ,e_{l}} is a basis of L. This allows identifying a submodule of L generated by g 1 , … , g k {\displaystyle g_{1},\ldots ,g_{k}} with
Gröbner_basis
Family of solved 2D conformal field theories
{R}}_{r,s}} is a coset of a Verma module by its infinitely many nontrivial submodules. It is unitary if and only if | p − q | = 1 {\displaystyle |p-q|=1} .
Minimal_model_(physics)
Mathematical element
the statement: There exists a finitely generated A {\displaystyle A} -submodule of B {\displaystyle B} that contains A [ b ] {\displaystyle A[b]} . Finally
Integral_element
Algebra of formal sums
generalized to free modules over a principal ideal domain. For instance, submodules of free modules over principal ideal domains are free, a fact that Hatcher
Free_abelian_group
Differential variety
{C}}\Omega ^{i}({\mathcal {O}})\subseteq \Omega ({\mathcal {O}})} be the submodule of differential forms over O {\displaystyle {\mathcal {O}}} whose restriction
Diffiety
SINGULAR SUBMODULE
SINGULAR SUBMODULE
Girl/Female
Arabic, Muslim
Wish; Desire; Purpose; Use; Aim; Singular of Marib
Girl/Female
Arabic, Muslim
Unique; Singular; Single
Girl/Female
Arabic, Gujarati, Indian, Kannada, Kashmiri, Muslim, Sindhi
Unique; Singular; Sole; Exclusive
Biblical
lot, singular of Purim (lots, as in Cleromancy [casting of lots])
Girl/Female
Arabic, Muslim
Unique; Singular
Girl/Female
Arabic, Muslim
Present; Gift; Singular of Nihel
Girl/Female
Arabic, Muslim
Present; Gift; Singular of Nihel
Girl/Female
Muslim
Unique, Singular, Exclusive
Surname or Lastname
English
English : from Middle English sengler, syngler ‘singular’ (Old French se(i)ngler), perhaps a nickname for a solitary person.German : topographic name for a valley dweller, from a diminutive of Middle High German senke ‘valley’ + the suffix -er, denoting an inhabitant.German : habitational name for someone from Singeln near Waldshut.German : variant of Sing 1.
Girl/Female
Indian
Unique, Singular
Girl/Female
Arabic, Muslim
Singular; Unparalleled; Alone; Unique
Girl/Female
Muslim
Unique, Singular, Exclusive
Girl/Female
Celtic
Mythical daughter of Lyr.
Girl/Female
Muslim
Unique, Singular
Girl/Female
Indian
Unique, Singular, Exclusive
Girl/Female
Indian
Unique, Singular, Exclusive
Boy/Male
Muslim/Islamic
Singular exclusive, unequalled
Girl/Female
Indian
Unique, Singular, Exclusive
Girl/Female
Muslim
Unique, Singular, Exclusive
Boy/Male
Afghan, Arabic, Danish, French, Kashmiri, Muslim, Pashtun, Sindhi
Singular; Unique; Alone; Exclusively; Unequalled; Exceptional; Peerless
SINGULAR SUBMODULE
SINGULAR SUBMODULE
Girl/Female
Christian, French, German, Greek, Gujarati, Indian, Kannada
A Pearl
Boy/Male
Tamil
Virudh | விரà¯à®¤à¯à®¤
Opposition
Girl/Female
Tamil
Speech, **
Biblical
Buyer; Owner
Boy/Male
Arabic, Muslim
Sword; The Sword of Honours
Girl/Female
Indian
Willingly
Boy/Male
Indian, Sanskrit
Master of Direction; One who has Appeared from Heaven; Name of Lord Datta
Boy/Male
Hindu, Indian, Punjabi, Sikh
Soul of Love; Happiness of the Heart; Who Pleases the Mind; Pretty; Eye Catching
Girl/Female
Muslim/Islamic
Active energetic
Boy/Male
Christian & English(British/American/Australian)
The Highest
SINGULAR SUBMODULE
SINGULAR SUBMODULE
SINGULAR SUBMODULE
SINGULAR SUBMODULE
SINGULAR SUBMODULE
a.
Each; individual; as, to convey several parcels of land, all and singular.
n.
Anything singular, rare, or curious.
a.
Distinguished as existing in a very high degree; rarely equaled; eminent; extraordinary; exceptional; as, a man of singular gravity or attainments.
a.
Being alone; belonging to, or being, that of which there is but one; unique.
n.
Any one of numerous species of brachiopod shells belonging to the genus Lingula, and related genera. See Brachiopoda, and Illustration in Appendix.
a.
Denoting one person or thing; as, the singular number; -- opposed to dual and plural.
a.
Relating to an angle or to angles; having an angle or angles; forming an angle or corner; sharp-cornered; pointed; as, an angular figure.
a.
Rather queer; somewhat singular.
a.
Fig.: Lean; lank; raw-boned; ungraceful; sharp and stiff in character; as, remarkably angular in his habits and appearance; an angular female.
n.
An individual instance; a particular.
a.
Measured by an angle; as, angular distance.
n.
Singular; wonderful; extraordinary.
adv.
In a singular manner; in a manner, or to a degree, not common to others; extraordinarily; as, to be singularly exact in one's statements; singularly considerate of others.
n.
See Kickshaws, the correct singular.
n.
The singular number, or the number denoting one person or thing; a word in the singular number.
a.
Of or pertaining to the people of an island; narrow; circumscribed; illiberal; contracted; as, insular habits, opinions, or prejudices.
a.
Standing by itself; out of the ordinary course; unusual; uncommon; strange; as, a singular phenomenon.
adv.
Strangely; oddly; as, to behave singularly.
adv.
So as to express one, or the singular number.
a.
Of or pertaining to an island; of the nature, or possessing the characteristics, of an island; as, an insular climate, fauna, etc.