Which mathematician contributed most to the decidability of various algebraic groups, Anatoly Maltsev or Semyon Aranovich Gershgorin?
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Anatoly Maltsev Anatoly Ivanovich Maltsev (also: Malcev, Mal'cev; Russian: Анато́лий Ива́нович Ма́льцев; 27 November N.S./14 November O.S. 1909, Moscow Governorate – 7 June 1967, Novosibirsk) was born in Misheronsky, near Moscow, and died in Novosibirsk, USSR. He was a mathematician noted for his work on the decidability of various algebraic groups. Malcev algebras (generalisations of Lie algebras) are named after him.
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Semyon Aranovich Gershgorin Semyon Aronovich Gershgorin (August 24, 1901 – May 30, 1933) was a Soviet (born in Pruzhany, Belarus, Russian Empire) mathematician. He began as a student at the Petrograd Technological Institute in 1923, became a Professor in 1930, and was given an appointment at the Leningrad Mechanical Engineering Institute in the same year. His contributions include the Gershgorin circle theorem.
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Decidable sublanguages of set theory In mathematical logic, various sublanguages of set theory are decidable. These include:
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Kummer theory In abstract algebra and number theory, Kummer theory provides a description of certain types of field extensions involving the adjunction of "n"th roots of elements of the base field. The theory was originally developed by Ernst Eduard Kummer around the 1840s in his pioneering work on Fermat's last theorem. The main statements do not depend on the nature of the field - apart from its characteristic, which should not divide the integer "n" – and therefore belong to abstract algebra. The theory of cyclic extensions of the field "K" when the characteristic of "K" does divide "n" is called Artin–Schreier theory.
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Cahit Arf Cahit Arf (] ; 11 October 1910 – 26 December 1997) was a Turkish mathematician. He is known for the Arf invariant of a quadratic form in characteristic 2 (applied in knot theory and surgery theory) in topology, the Hasse–Arf theorem in ramification theory, Arf semigroups, and Arf rings.
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Anatoly Mikhailovich Stepin Anatoly Mikhailovich Stepin (Анатолий Михайлович Степин, born 20 July 1940 in Moscow) is a Soviet-Russian mathematician, specializing in dynamical systems and ergodic theory.
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Yuri Golfand Yuri Abramovich Golfand (Russian: Ю́рий Абра́мович Го́льфанд ; January 10, 1922, in Kharkiv – February 17, 1994, in Jerusalem) was a Russian and Israeli physicist known, in particular, for his 1971 paper (joint with his student Evgeny Likhtman) where they proposed supersymmetry between bosonic and ferminoic particles by extending the Poincaré algebra with anticommuting spinor generators. The algebra they constructed is also called a Super-Poincaré algebra. In the very same paper they presented the ﬁrst four-dimensional supersymmetric
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Kurosh subgroup theorem In the mathematical field of group theory, the Kurosh subgroup theorem describes the algebraic structure of subgroups of free products of groups. The theorem was obtained by Alexander Kurosh, a Russian mathematician, in 1934. Informally, the theorem says that every subgroup of a free product is itself a free product of a free group and of its intersections with the conjugates of the factors of the original free product.
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Emil Artin Emil Artin (] ; March 3, 1898 – December 20, 1962) was an Austrian mathematician of Armenian descent. Artin was one of the leading mathematicians of the twentieth century. He is best known for his work on algebraic number theory, contributing largely to class field theory and a new construction of L-functions. He also contributed to the pure theories of rings, groups and fields.
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Mikhail Khovanov Mikhail Khovanov (Russian: Михаил Хованов ; born 1972) is a Russian-American professor of mathematics at Columbia University. He graduated from Moscow State School 57 mathematical class in 1988. He earned a PhD in mathematics from Yale University in 1997, where he studied under Igor Frenkel. His interests include knot theory and algebraic topology. He is known for the Khovanov homology for links, introduced in his paper "A categorification of the Jones polynomial", which he published while at UC Davis. This was one of the first examples of categorification and is quoted in knot theory.
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Shreeram Shankar Abhyankar Shreeram Shankar Abhyankar (22 July 1930 – 2 November 2012) was an Indian American mathematician known for his contributions to algebraic geometry. He, at the time of his death, held the Marshall distinguished professor of mathematics chair at Purdue University, and was also a professor of computer science and industrial engineering. He is known for Abhyankar's conjecture of finite group theory.
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Theory of equations In algebra, the theory of equations is the analysis of the nature and algebraic solutions of algebraic equations (also called "polynomial equations"), which are equations defined by a polynomial. The term "theory of equations" is mainly used in the context of the history of mathematics.
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Anatoly Sukhorukov Anatoly Petrovich Sukhorukov (Russian: Анато́лий Петро́вич Сухору́ков , 29 November 1935 – 10 April 2014) was a Soviet and Russian physicist who made fundamental contributions to the development of the theory of waves and nonlinear interactions in optics, radiophysics, and acoustics.
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Lucien Szpiro Lucien Szpiro is a French mathematician, known for his work in number theory, arithmetic algebraic geometry, and commutative algebra.
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Victor Batyrev Victor Vadimovich Batyrev (Виктор Вадимович Батырев, born 21 August 1961, Moscow) is a Russian mathematician, specializing in algebraic and arithmetic geometry and its applications to mathematical physics. He is a professor at the University of Tübingen.
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Vera Faddeeva Vera Faddeeva (Russian: Вера Николаевна Фаддеева ; Vera Nikolaevna Faddeeva; 1906–1983) was a Soviet mathematician from a family of mathematicians. Faddeeva published some of the first work in the field of linear algebra. Her 1950 work, "Computational methods of linear algebra" was widely acclaimed and she won a USSR State Prize for it. Between 1962 and 1975, she prepared many research papers with her husband, Dmitry Konstantinovich Faddeev.
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Ax–Grothendieck theorem In mathematics, the Ax–Grothendieck theorem is a result about injectivity and surjectivity of polynomials that was proved independently by James Ax and Alexander Grothendieck.
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Suren Arakelov Suren Yurievich Arakelov (Russian: Суре́н Ю́рьевич Араке́лов , ) (born October 16, 1947 in Kharkiv) is a Soviet mathematician of Armenian descent known for the influential theory that bears his name.
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Michael Artin Michael Artin (] ; born 28 June 1934) is an American mathematician and a professor emeritus in the Massachusetts Institute of Technology mathematics department, known for his contributions to algebraic geometry.
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Zenon Ivanovich Borevich Zenon Ivanovich Borevich Зенон Иванович Боревич (7 November 1922 – 26 February 1995) was a Russian mathematician who worked on homological algebra, algebraic number theory, integral representations, and linear groups.
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Sergey Yablonsky Sergey Vsevolodovich Yablonsky (Russian: Серге́й Все́володович Ябло́нский, 6 December 1924 – 26 May 1998) was a Soviet and Russian mathematician, one of the founders of the Soviet school of mathematical cybernetics and discrete mathematics. He is the author of a number of classic results on synthesis, reliability, and classification of control systems (Russian: Управляющие системы ), the term used in the USSR and Russia for a generalization of finite state automata, Boolean circuits and multi-valued logic circuits. (The term is ambiguous, since conventionally in the West control systems is understood as an engineering discipline. The ambiguity stems from the fact that the names of the two disciplines that differ in Russian, namely "Системы управления" and "Управляющие системы", are both translated into English as "control systems".)
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David Hilbert David Hilbert (] ; 23 January 1862 – 14 February 1943) was a German mathematician. He is recognized as one of the most influential and universal mathematicians of the 19th and early 20th centuries. Hilbert discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.