Анаграми & Информация за | Английски дума ARTIN

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Примери за използване на ARTIN в изречение

• These conditions played an important role in the development of the structure theory of commutative rings in the works of David Hilbert, Emmy Noether, and Emil Artin.
• Artin and Schreier gave the definition in terms of positive cone in 1926, which axiomatizes the subcollection of nonnegative elements.
• This work systematized an ample body of research by Emmy Noether, David Hilbert, Richard Dedekind, and Emil Artin.
• This question arose in connection with the study of rings of algebraic integers (which are examples of Dedekind domains) in number theory, and led to the development of class field theory by Teiji Takagi, Emil Artin, David Hilbert, and many others.
• He was awarded a Rockefeller fellowship that enabled him to study in Germany in 1930-1931, first with John von Neumann in Berlin, then during June with Emil Artin in Hamburg, and finally with Emmy Noether in Göttingen.
• However, the significance of Takagi's work was first recognized by Emil Artin in 1922, and was again pointed out by Carl Ludwig Siegel, and at the same time by Helmut Hasse, who lectured in Kiel in 1923 on class field theory and presented Takagi's work in a lecture at the meeting of the DMV in 1925 in Danzig and in his Klassenkörperbericht (class field report) in the 1926 annual report of the DMV.
• The relevant ideas were developed in the period of several decades, giving rise to a set of conjectures by Hilbert that were subsequently proved by Takagi and Artin (with the help of Chebotarev's theorem).
• Emil Artin was born in Vienna to parents Emma Maria, née Laura (stage name Clarus), a soubrette on the operetta stages of Austria and Germany, and Emil Hadochadus Maria Artin, Austrian-born of mixed Austrian and Armenian descent.
• Together with his advisor Emil Artin, Tate gave a cohomological treatment of global class field theory using techniques of group cohomology applied to the idele class group and Galois cohomology.
• The ring of adeles allows one to describe the Artin reciprocity law, which is a generalisation of quadratic reciprocity, and other reciprocity laws over finite fields.
• An axiomatic characterization of these fields via valuation theory was given by Emil Artin and George Whaples in the 1940s.
• In this article Appel and Schupp introduced four theorems that are true about Coxeter groups and then proved them to be true for Artin groups.
• At Harvard, Zariski's students included Shreeram Abhyankar, Heisuke Hironaka, David Mumford, Michael Artin and Steven Kleiman—thus spanning the main areas of advance in singularity theory, moduli theory and cohomology in the next generation.
• He read Galois theory, met the mathematician Emil Artin, and did research under the supervision of Leon Lichtenstein.
• A result of Emil Artin allows one to construct Galois extensions as follows: If E is a given field, and G is a finite group of automorphisms of E with fixed field F, then E/F is a Galois extension.
• In mathematics, specifically abstract algebra, an Artinian ring (sometimes Artin ring) is a ring that satisfies the descending chain condition on (one-sided) ideals; that is, there is no infinite descending sequence of ideals.
• He facilitated the now-celebrated visit of Robert Langlands to Turkey (now famous for the Langlands program, among many other things); during which Langlands worked out some arduous calculations on the epsilon factors of Artin L-functions.
• After Grothendieck developed the general theory of descent, and Giraud the general theory of stacks, the notion of algebraic stacks was defined by Michael Artin.
• In this formulation, automorphic forms are certain finite invariants, mapping from the idele class group under the Artin reciprocity law.
• Lang studied at Princeton University, writing his thesis titled "On quasi algebraic closure" under the supervision of Emil Artin, and then worked on the geometric analogues of class field theory and diophantine geometry.
• 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 that occur in dynamical systems and fractals.
• In the early 1960s, Artin spent time at the IHÉS in France, contributing to the SGA4 volumes of the Séminaire de géométrie algébrique, on topos theory and étale cohomology, jointly with Alexander Grothendieck.
• A group that satisfies the ascending chain condition (ACC) on subgroups is called a Noetherian group, and a group that satisfies the descending chain condition (DCC) is called an Artinian group (not to be confused with Artin groups), by analogy with Noetherian rings and Artinian rings.
• As a continuation of the poll, Glenn Boothe and Keith Artin organised a "Village Voice Pazz & Jop Rip-Off Poll" in 2019.
• Grothendieck developed étale cohomology theory to prove two of the Weil conjectures (together with Michael Artin and Jean-Louis Verdier) by 1965.

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