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Artin may refer to: * Artin (name), Persian male name meaning ''righteous'', ''pure'' or ''holy'' (also a name of a Median king) * A variant of Harutyun (given name), a given Armenian name * Artin, a Chinese manufacturer of 1/64, 1/43, and 1/32 scale slot cars and track *15378 Artin, a main-belt asteroid discovered on August 7, 1997 by P. G. Comba at Prescott ==Mathematics== ;Related to the work of Emil Artin *Artin group (or generalized braid group), in mathematics, a group with a presentation *Artin algebra, an algebra Λ over a commutative Artin ring R that is a finitely generated R-module *Artin billiard, in mathematics and physics, a type of a dynamical billiard first studied by Emil Artin in 1924 *Artin conductor, 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 appearing in the functional equation of an Artin L-function. *Artin's conjecture on primitive roots, in numbers theory, a given integer a which is not a perfect square and not −1 is a primitive root modulo infinitely many primes p *Artin L-function, a type of Dirichlet series associated to a linear representation ρ of a Galois group G introduced in the 1923 by Emil Artin, in connection with his research into class field theory. *Artin reciprocity law, established by Emil Artin, a general theorem in number theory that forms a central part of global class field theory *Artin–Hasse exponential, in mathematics, a power series named after Emil Artin and Helmut Hasse *Artin–Rees lemma, a basic result about modules over a Noetherian ring, along with results such as the Hilbert basis theorem *Artin–Schreier theory, in mathematics, a branch of Galois theory, and more specifically is a positive characteristic analogue of Kummer theory, for Galois extensions of degree equal to the characteristic p *Artin–Wedderburn theorem, in abstract algebra, a classification theorem for semisimple rings and semisimple algebras. *Artin–Zorn theorem, stating that any finite alternative division ring is necessarily a finite field, named after Emil Artin and Max Zorn ;Related to the work of Michael Artin *Artin approximation theorem, deformation theory which implies that formal power series with coefficients in a field k are well-approximated by the algebraic functions on k. Theorem as a fundamental result of Michael Artin (1969) *Artin–Mazur zeta function, named after Michael Artin and Barry Mazur, a tool for studying the iterated functions that occur in dynamical systems and fractals 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Artin」の詳細全文を読む スポンサード リンク
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