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Topics referred to by the same term
artin in Wiktionary, the free dictionary. Artin may refer to: Artin (name), a surname and given name, including a list of people with the name Artin,
Artin
Austrian mathematician (1898–1962)
Emil Artin (German: [ˈaʁtiːn]; March 3, 1898 – December 20, 1962) was an Austrian mathematician of Armenian descent. Artin was one of the leading mathematicians
Emil_Artin
an Artin algebra is an algebra Λ over a commutative Artin ring R that is a finitely generated R-module. They are named after Emil Artin. Every Artin algebra
Artin_algebra
Name list
Artin (Central Kurdish (Sorani): ئارتین / Artin, Northern Kurdish (Kurmanji): Artîn, Reconstructed Medean: Arta- or Artina, cuneiform: 𐎠𐎼𐎫) is an ancient
Artin_(name)
American mathematician (born 1934)
Michael Artin (German: [ˈaʁtiːn]; born 28 June 1934) is an American mathematician and a professor emeritus in the Massachusetts Institute of Technology
Michael_Artin
Topics referred to by the same term
mathematics, there are several conjectures made by Emil Artin: Artin conjecture (L-functions) Artin's conjecture on primitive roots The (now proved) conjecture
Artin_conjecture
theory, the Artin conductor is a number or ideal associated to a character of a Galois group of a local or global field, introduced by Emil Artin as an expression
Artin_conductor
Mathematical theorem
The Artin reciprocity law, which was established by Emil Artin in a series of papers (1924; 1927; 1930), is a general theorem in number theory that forms
Artin_reciprocity
Classification of semi-simple rings and algebras
In algebra, the Wedderburn–Artin theorem is a classification theorem for semisimple rings and semisimple algebras. The theorem states that a(n Artinian)
Wedderburn–Artin_theorem
1969 result in deformation theory
In mathematics, the Artin approximation theorem is a fundamental result of Michael Artin (1969) in deformation theory which implies that formal power series
Artin_approximation_theorem
Type of Dirichlet series associated to number field extensions
In mathematics, Artin L-functions are a type of Dirichlet series defined for finite extensions of number fields, encoding informations about linear representations
Artin_L-function
Mathematical result
In mathematics, the Artin–Zorn theorem, named after Emil Artin and Max Zorn, states that any finite alternative division ring is necessarily a finite field
Artin–Zorn_theorem
Emil Artin, a mathematician. Ankeny–Artin–Chowla congruence Artin algebra Artin billiards Artin braid group Artin character Artin conductor Artin's conjecture
List of things named after Emil Artin
List_of_things_named_after_Emil_Artin
Conjecture in number theory
In number theory, Artin's conjecture on primitive roots states that a given integer a that is neither a square number nor −1 is a primitive root modulo
Artin's conjecture on primitive roots
Artin's_conjecture_on_primitive_roots
Artin Hindoğlu (Armenian: Յարութիւն Հինտօղլու) was a 19th-century Ottoman etymologist, interpreter, professor, linguist, and writer of the first modern
Artin_Hindoğlu
Branch of Galois theory in mathematics
In mathematics, Artin–Schreier theory is a branch of Galois theory, specifically a positive characteristic analogue of Kummer theory, for Galois extensions
Artin–Schreier_theory
Family of infinite discrete groups
In the mathematical area of group theory, Artin groups, also known as Artin–Tits groups or generalized braid groups, are a family of infinite discrete
Artin–Tits_group
In algebra, the Artin–Tate lemma, named after John Tate and his former advisor Emil Artin, states: Let A be a commutative Noetherian ring and B ⊂ C {\displaystyle
Artin–Tate_lemma
Embedding of the unit interval into 3-space ambient isotopy inequivalent to a line segment
(1920) found the first example of a wild arc. Fox & Artin (1948) found another example, called the Fox-Artin arc, whose complement is not simply connected.
Wild_arc
Armenian footballer (born 2000)
Maral Artin (Armenian: Մարալ Արթին; born 9 June 2000) is an Armenian footballer who plays as a forward for Cordoba Féminin and the Armenia national team
Maral_Artin
American-Russian mathematician and photographer (1909–2003)
Natascha Artin Brunswick (née Natalya Naumovna Yasnaya; June 11, 1909 – February 3, 2003) was a Russian-American mathematician and photographer. Natascha
Natascha_Artin_Brunswick
Theorem on constructible abelian sheaves over the spectrum of a ring of algebraic numbers
In mathematics, Artin–Verdier duality is a duality theorem for constructible abelian sheaves over the spectrum of a ring of algebraic numbers, introduced
Artin–Verdier_duality
In mathematics, Artin's criteria are a collection of related necessary and sufficient conditions on deformation functors which prove the representability
Artin's_criterion
Algebra where x(xy)=(xx)y and (yx)x=y(xx)
algebras lose alternativity. Lie algebras are usually not alternative. Artin's theorem states that in an alternative algebra the subalgebra generated
Alternative_algebra
In mathematics, an Artin–Schreier curve is a plane curve defined over an algebraically closed field of characteristic p {\displaystyle p} by an equation
Artin–Schreier_curve
Armenian educator and scholar
Yacoub Artin (15 April 1842 – 21 January 1919) was an ethnic Armenian educator and scholar working in Egypt. He was of Armenian descent, working for the
Yacoub_Artin
Ottoman governor of Mount Lebanon from 1861 to 1868
Garabet Artin Pasha Davoudian (also Garabed Artin Davoudian, Davud Pasha, Dawud Pasha; Arabic: قره بت آرتين باشا داوديان) was an Ottoman career diplomat
Garabet_Artin_Davoudian
reduced norm N1 from GL1(K ) = K × to F × via the abelianization. The Tannaka–Artin problem is whether these two maps have the same kernel SLn(K ). This is
Dieudonné_determinant
Group whose operation is a composition of braids
group on n strands (denoted B n {\displaystyle B_{n}} ), also known as the Artin braid group, is the group whose elements are equivalence classes of n-braids
Braid_group
Artin Madoyan (Armenian: Արթին Մադոյան) (born 10 April 1904 in Adana) was a Lebanese-Armenian communist politician. He was the most prominent Armenian
Artin_Madoyan
Ring in abstract algebra
mathematics, specifically abstract algebra, an Artinian ring (sometimes Artin ring) is a ring that satisfies the descending chain condition on (one-sided)
Artinian_ring
American painter
Wendy Artin is an American painter. She primarily works in watercolor and charcoal. Her work is figurative and classical and explores the timeless interaction
Wendy_Artin
Turkish-Armenian who burned himself in protest of ASALA terrorist attacks on Turks
Artin Penik (1921 – August 15, 1982) was a Turkish-Armenian who committed suicide by self-immolation in protest of the Esenboga airport attack by the
Artin_Penik
In 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
Artin–Rees_lemma
Swedish-Armenian politician
Murad Artin (Armenian: Մուրադ Արթին, Arabic: مراد أرتين; born 6 January 1960 in Iraq) is a Swedish-Armenian politician and Left Party member who worked
Murad_Artin
Field in mathematics similar to the real numbers
numbers (this is a proper class, not a set). If F is an ordered field, the Artin–Schreier theorem states that F has an algebraic extension, called the real
Real_closed_field
In mathematics, the Artin–Mazur zeta function, named after Michael Artin and Barry Mazur, is a function that is used for studying the iterated functions
Artin–Mazur_zeta_function
mathematics, specifically in p-adic analysis, the Artin–Hasse exponential, introduced by Emil Artin and Helmut Hasse in 1928, is the power series given
Artin–Hasse_exponential
Artin Boshgezenian (1861-1923), was an Armenian deputy for Aleppo in the first (1908–1912), second (April–August 1912) and third (1914–1918) Ottoman Parliaments
Artin_Boshgezenian
Generalization of algebraic spaces or schemes
are constructed using techniques specific to algebraic stacks, such as Artin's representability theorem, which is used to construct the moduli space of
Algebraic_stack
Commune in Centre-Val de Loire, France
Artins (French pronunciation: [aʁtɛ̃]) is a commune in the Loir-et-Cher department in central France. ‹ The template Historical populations is being considered
Artins
1957 book by Emil Artin
Geometric Algebra is a book written by Emil Artin and published by Interscience Publishers, New York, in 1957. It was republished in 1988 in the Wiley
Geometric_Algebra_(book)
Branch of algebraic number theory concerned with abelian extensions
set of conjectures by Hilbert that were subsequently proved by Takagi and Artin (with the help of Chebotarev's theorem). One of the major results is: given
Class_field_theory
Algebraic structure
by numerous authors. An incomplete list of such contributors includes E. Artin, Richard Brauer, P. M. Cohn, W. R. Hamilton, I. N. Herstein, N. Jacobson
Noncommutative_ring
In the mathematical field of group theory, an Artin transfer is a certain homomorphism from an arbitrary finite or infinite group to the commutator quotient
Artin_transfer_(group_theory)
Established in 2001, the Emil Artin Junior Prize in Mathematics is presented usually every year by the Armenian Mathematical Union to a former student
Emil Artin Junior Prize in Mathematics
Emil_Artin_Junior_Prize_in_Mathematics
Austrian mathematician (1901–1929)
Erweiterung von Gruppen). In 1926 he completed his habilitation with Emil Artin at the University of Hamburg (Die Untergruppen der freien Gruppe. Abhandlungen
Otto_Schreier
Mathematical law, a generalization of quadratic reciprocity
values in roots of unity, is equal to 1. Artin reformulated the reciprocity laws as a statement that the Artin symbol from ideals (or ideles) to elements
Reciprocity_law
Mathematical terminology
vector spaces. Artin's study of these representations led him to formulate the Artin reciprocity law and conjecture what is now called the Artin conjecture
Galois_representation
Generalization of the Riemann zeta function for algebraic number fields
, the resulting Artin L-function is: L ( s , 1 , L / K ) = ζ K ( s ) . {\displaystyle L(s,{\mathcal {1}},L/K)=\zeta _{K}(s).} Artin L-functions are very
Dedekind_zeta_function
Branch of number theory
were mostly proved by 1930, after work by Teiji Takagi. Emil Artin established the Artin reciprocity law in a series of papers (1924; 1927; 1930). This
Algebraic_number_theory
Name list
Յարութիւն) also spelled Haroutioun, Harutiun and its variants Harout, Harut and Artin is a common male Armenian name; it means "resurrection" in Armenian. Harutyun
Harutyun
Mathematical concept
In mathematics, compact objects, also referred to as finitely presented objects, or objects of finite presentation, are objects in a category satisfying
Compact_object_(mathematics)
Mathematical society in Armenia
celebrate the 120th anniversary of Emil Artin's birth. Since 2001 the AMU has annually awarded the Emil Artin Junior Prize in Mathematics to a mathematician
Armenian_Mathematical_Union
Concerns the class number of a real quadratic field of discriminant > 0
In number theory, the Ankeny–Artin–Chowla congruence is a result published in 1953 by N. C. Ankeny, Emil Artin and S. Chowla. It concerns the class number h
Ankeny–Artin–Chowla congruence
Ankeny–Artin–Chowla_congruence
Mathematical concept
characterization of these fields via valuation theory was given by Emil Artin and George Whaples in the 1940s. We say that field K {\displaystyle K} is
Global_field
German mathematician (born 1958)
between 1984 and 1987, Deninger studied extensions of Artin–Verdier duality. Broadly speaking, Artin–Verdier duality, a consequence of class field theory
Christopher_Deninger
American mathematician (1925–2019)
number fields and Hecke's zeta functions" under the supervision of Emil Artin. Tate taught at Harvard for 36 years before joining the University of Texas
John_Tate_(mathematician)
representation theory, a branch of mathematics, Artin's theorem on induced characters, introduced by E. Artin, states that a character on a finite group is
Artin's theorem on induced characters
Artin's_theorem_on_induced_characters
L-functions (Artin-Hecke L-functions); and to the global function field case. Here the inclusion of Artin L-functions, in particular, implicates Artin's conjecture;
Weil's_criterion
Iraqi cyclist
George Artin Tajirian (Arabic: جورج أرتين تاجريان; 5 November 1941 – 30 November 2001) was a former Iraqi cyclist and convicted smuggler. He competed
George_Tajirian
Artin Dadyan Pasha (Ottoman Turkish: آرتین دادیان پاشا; 1830–1901) was Deputy Secretary of State for Foreign Affairs in the Ottoman Empire from 1880 until
Artin_Dadyan_Pasha
Government position in Egypt
Yousefian بوغوص بك يوسفيان (1775–1844) 1826 1844 18 years N/A Muhammad Ali 2 Artin Bey Shoukry ارتين بك شركيان (?-?) 1844 1850 6 years N/A 3 Estefan Bey Rasmy
Minister of Foreign Affairs (Egypt)
Minister_of_Foreign_Affairs_(Egypt)
Collection of music dating from approximately 1400 BCE
second edition (Madison: Brown & Benchmark Publishers, 1995), p. 2.; M[artin] L[itchfield] West, "The Babylonian Musical Notation and the Hurrian Melodic
Hurrian_songs
Leader of China from 1978 to 1989
China (2nd ed.). Penguin Books. ISBN 978-0-14-013945-7. Franz, Uli (1988). Artin, Tom (ed.). Deng Xiaoping. New York: Harcourt Brace Jovanovich. ISBN 9780151251773
Deng_Xiaoping
Certain polynomial equations in enough variables over a finite field have solutions
Chevalley's theorem implied Artin's and Dickson's conjecture that finite fields are quasi-algebraically closed fields (Artin 1982, page x). Let F {\displaystyle
Chevalley–Warning_theorem
introduced by Hasse (1926, 1930) for abelian extensions and by Artin (1931) for Galois extensions, is a formula calculating the relative discriminant
Conductor–discriminant formula
Conductor–discriminant_formula
French mathematician
hypercovers and anticipating the later development of étale homotopy by Michael Artin and Barry Mazur, following a suggestion he attributed to Pierre Cartier
Jean-Louis_Verdier
Place in Badakhshan Province, Afghanistan
Artin Jelow (also Atin Jilao) is a village in Badakhshan Province's Argo District in northeastern Afghanistan. It is roughly 16 miles (26 km) southeast
Artin_Jelow
Soviet mathematician (1894–1947)
subject titled Basic Galois Theory. His ideas were used by Emil Artin to prove the Artin reciprocity law. He worked with his student Anatoly Dorodnov on
Nikolai_Chebotaryov
On the reciprocity law in algebraic number fields
problem. The problem was partially solved by Artin (1924), Artin (1927) and Artin (1930) by establishing the Artin reciprocity law which deals with abelian
Hilbert's_ninth_problem
Type of a dynamical billiard first studied by Emil Artin in 1924
In mathematics and physics, the Artin billiard is a type of a dynamical billiard first studied by Emil Artin in 1924. It describes the geodesic motion
Artin_billiard
ramification in the extension. The definition of the conductor is related to the Artin map. Let L/K be a finite abelian extension of non-archimedean local fields
Conductor (class field theory)
Conductor_(class_field_theory)
"Michael Artin". MacTutor History of Mathematics Archive. University of St Andrews. Archived from the original on 30 April 2021. Emil Artin, born in Vienna
List of Armenian inventors and discoverers
List_of_Armenian_inventors_and_discoverers
Egyptian child actress (1943–2016)
Piruz Sarkis Artin Galfayan (Egyptian Arabic: پيروز سركيس آرتين جالفايان; Armenian: Փիրուզ Սարգիս Արթին Գալֆայան; 15 March 1943 – 30 January 2016), known
Feyrouz
Algebraic field extension
group and obeys the fundamental theorem of Galois theory. A result of Emil Artin allows one to construct Galois extensions as follows: If E is a given field
Galois_extension
paper (Lang 1952). The idea itself is attributed to Lang's advisor Emil Artin. Formally, if P is a non-constant homogeneous polynomial in variables X1
Quasi-algebraically closed field
Quasi-algebraically_closed_field
Artin Poturlyan or Potourlian (Bulgarian: Артин Потурлян [ɐrˈtin potorˈʎan]; born May 4, 1943) is an Armenian-Bulgarian composer and pedagogue. He graduated
Artin_Poturlyan
Type of object in algebraic geometry
algebraic stack (often called an Artin stack after Michael Artin). Thus every Deligne–Mumford stack is an algebraic (Artin) stack, but not conversely. The
Deligne–Mumford_stack
Egyptian actress, singer, comedian, dancer and television personality
Nelly Artin Kalfayan (Arabic: نيللي آرتين كالفيان; Armenian: Նելլի Արթին Գալֆայան; born 3 January 1951), known mononymously as Nelly, is an Egyptian actress
Nelly_(Egyptian_entertainer)
American philosopher
Paul Artin Boghossian (/bəˈɡoʊziən/; born June 4, 1957) is an American philosopher. He is Silver Professor of Philosophy at New York University, where
Paul_Boghossian
Field theory theorem
elements and his modern version Theorem of the intermediate fields. Emil Artin reformulated Galois theory in the 1930s without relying on primitive elements
Primitive_element_theorem
satisfying certain conditions. Class formations were introduced by Emil Artin and John Tate to organize the various Galois groups and modules that appear
Class_formation
American-Canadian mathematician
mathematician John T. Tate (1925–2019), and the great grandson of Emil Artin. "In Bures-sur-Yvette, a mathematical Eden". Le Monde.fr. 15 April 2023
Dustin_Clausen
Pathological embedding of the sphere in 3D space
the boundaries of dimension and measure. Wild arc, specifically the Fox–Artin arc – An embedding of an interval into 3D space that is "knotted" at every
Alexander_horned_sphere
Scottish mathematician
division algebra is a field (Wedderburn's little theorem), and part of the Artin–Wedderburn theorem on simple algebras. He also worked on group theory and
Joseph_Wedderburn
Algebraic structure with addition, multiplication, and division
92 Lang (2002), §II.1 Artin (1991), §10.6 Eisenbud (1995), p. 60 Jacobson (2009), p. 213 Artin (1991), Theorem 13.3.4 Artin (1991), Corollary 13.3.6
Field_(mathematics)
the Airy function Arakawa–Kaneko zeta function Arithmetic zeta function Artin–Mazur zeta function of a dynamical system Barnes zeta function or double
List_of_zeta_functions
Condition in commutative algebra
commutative rings in the works of David Hilbert, Emmy Noether, and Emil Artin. The conditions themselves can be stated in an abstract form, so that they
Ascending_chain_condition
Norwegian mathematician (1942–2025)
expert in representation theory, and is known for work in tilting theory and Artin algebras. Reiten took her PhD degree at the University of Illinois in 1971
Idun_Reiten
Islamic law
location missing publisher (link) Calder & Hooker 2007, p. 322. Hindoglu, Artin (1838). "شرع". Hazine-i lûgat ou dictionnaire abrégé turc-français. Vienna:
Sharia
Conjectures connecting number theory and geometry
starting point of the program was Emil Artin's reciprocity law, which generalizes quadratic reciprocity. The Artin reciprocity law applies to a Galois extension
Langlands_program
French-American mathematician
contained ideas of his teacher, Artin; some of the most interesting passages in Algebraic Number Theory also reflect Artin's influence and ideas that might
Serge_Lang
Equivalence between synthetic and analytic geometries
numbers and points on a line. This axiom became a theorem proved by Emil Artin in his book Geometric Algebra. More precisely, Euclidean spaces defined
Cantor–Dedekind_axiom
Elementary function in mathematics
{\displaystyle L(\rho ,s)=\varepsilon (\rho ,s)L(\rho ^{v},1-s)} of the Artin L-function associated to ρ {\displaystyle \rho } has a function ε ( ρ ,
Langlands–Deligne local constant
Langlands–Deligne_local_constant
Theorem in algebraic geometry
because of the additional assumptions on Y {\displaystyle Y} . Michael Artin and Alexander Grothendieck found a generalization of the Lefschetz hyperplane
Lefschetz_hyperplane_theorem
Concept in class field theory
denotes the commutator subgroup). For more details about Weil groups see (Artin & Tate 2009) or (Tate 1979) or (Weil 1951). The Weil group of a class formation
Weil_group
American mathematician and professor
Chicago in 1998 under the supervision of William Fulton on Chow Homology for Artin Stacks. He was lecturer at the University of Warwick and became a full professor
Andrew_Kresch
American mathematician
American mathematician known for her work in geometric group theory and Artin groups. Other areas of research include K-theory and algebraic topology
Ruth_Charney
Swedish actor
Leif Allan Johansson (1958-01-29) 29 January 1958 (age 68) Stockholm, Sweden Occupation Actor Years active 1984–present Spouse Sophia Artin Children 4
Leif_Andrée
ARTIN
ARTIN
ARTIN
Boy/Male
Gujarati, Hindu, Indian
Lord Shiva
Girl/Female
Biblical
House of dividing asunder.
Girl/Female
Tamil
To rise, Honest
Boy/Male
Indian
Happy, Sweet fragrant
Girl/Female
German, Teutonic
Noble Serpent; Intelligent
Boy/Male
Arabic, Indian, Muslim
Keeper; Guardian; Preserver
Girl/Female
Tamil
Thought, Idea, Prayer
Female
English
Variant spelling of English Johnna, JONNA means "God is gracious."
Girl/Female
Muslim
Peace
Boy/Male
Tamil
Beautiful
ARTIN
ARTIN
ARTIN
ARTIN
ARTIN