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Anatoly Maltsev

Index 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. [1]

43 relations: Algebra i Logika, Algebraic group, Andrey Kolmogorov, Baker–Campbell–Hausdorff formula, Decidability (logic), Embedding, Field (mathematics), Finite group, Group (mathematics), Group theory, Hahn series, Ivanovo, Ivanovo State University, Lenin Prize, Lie algebra, Lie group, Lie group–Lie algebra correspondence, Logic, Malcev algebra, Malcev Lie algebra, Malcev-admissible algebra, Mathematician, Mathematics, Matrix group, Michel Lazard, Model theory, Moscow, Moscow Governorate, Moscow State University, Nilpotent group, Novosibirsk, Novosibirsk State University, Old Style and New Style dates, Ring (mathematics), Russian Academy of Sciences, Russian language, Semigroup, Solvable group, Soviet Union, Steklov Institute of Mathematics, Topological algebra, USSR State Prize, Yury Yershov.

Algebra i Logika

Algebra i Logika (English: Algebra and Logic) is a peer-reviewed Russian mathematical journal founded in 1962 by Anatoly Ivanovich Malcev, published by the Siberian Fund for Algebra and Logic at Novosibirsk State University.

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Algebraic group

In algebraic geometry, an algebraic group (or group variety) is a group that is an algebraic variety, such that the multiplication and inversion operations are given by regular maps on the variety.

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Andrey Kolmogorov

Andrey Nikolaevich Kolmogorov (a, 25 April 1903 – 20 October 1987) was a 20th-century Soviet mathematician who made significant contributions to the mathematics of probability theory, topology, intuitionistic logic, turbulence, classical mechanics, algorithmic information theory and computational complexity.

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Baker–Campbell–Hausdorff formula

In mathematics, the Baker–Campbell–Hausdorff formula is the solution to the equation for possibly noncommutative and in the Lie algebra of a Lie group.

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Decidability (logic)

In logic, the term decidable refers to the decision problem, the question of the existence of an effective method for determining membership in a set of formulas, or, more precisely, an algorithm that can and will return a boolean true or false value that is correct (instead of looping indefinitely, crashing, returning "don't know" or returning a wrong answer).

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Embedding

In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup.

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Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

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Finite group

In abstract algebra, a finite group is a mathematical group with a finite number of elements.

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Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

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Group theory

In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.

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Hahn series

In mathematics, Hahn series (sometimes also known as Hahn–Mal'cev–Neumann series) are a type of formal infinite series.

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Ivanovo

Ivanovo (p) is a city and the administrative center of Ivanovo Oblast, Russia, located from Moscow and approximately from Yaroslavl, Vladimir, and Kostroma.

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Ivanovo State University

Ivanovo State University (Ива́новский госуда́рственный университе́т) or IvSU (ИвГУ) is in Ivanovo, about 300 km east of Moscow, Russia.

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Lenin Prize

The Lenin Prize (Ленинская премия, Leninskaya premiya) is one of the awards re-introduced in April 2018 in the Ulyanovsk Oblast, Russia, presented to individuals for accomplishments relating to science, literature, arts, architecture, and technology.

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Lie algebra

In mathematics, a Lie algebra (pronounced "Lee") is a vector space \mathfrak g together with a non-associative, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow \mathfrak g; (x, y) \mapsto, called the Lie bracket, satisfying the Jacobi identity.

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Lie group

In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.

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Lie group–Lie algebra correspondence

In mathematics, Lie group–Lie algebra correspondence allows one to study Lie groups, which are geometric objects, in terms of Lie algebras, which are linear objects.

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Logic

Logic (from the logikḗ), originally meaning "the word" or "what is spoken", but coming to mean "thought" or "reason", is a subject concerned with the most general laws of truth, and is now generally held to consist of the systematic study of the form of valid inference.

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Malcev algebra

In mathematics, a Malcev algebra (or Maltsev algebra or Moufang–Lie algebra) over a field is a nonassociative algebra that is antisymmetric, so that and satisfies the Malcev identity They were first defined by Anatoly Maltsev (1955).

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Malcev Lie algebra

In mathematics, a Malcev Lie algebra, or Mal'tsev Lie algebra, is a generalization of a rational nilpotent Lie algebra, and Malcev groups are similar.

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Malcev-admissible algebra

In algebra, a Malcev-admissible algebra, introduced by, is a (possibly non-associative) algebra that becomes a Malcev algebra under the bracket.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Matrix group

In mathematics, a matrix group is a group G consisting of invertible matrices over a specified field K, with the operation of matrix multiplication.

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Michel Lazard

Michel Paul Lazard (5 December 1924 – 15 September 1987) was a French mathematician who worked in the theory of Lie groups in the context of p-adic analysis.

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Model theory

In mathematics, model theory is the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic.

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Moscow

Moscow (a) is the capital and most populous city of Russia, with 13.2 million residents within the city limits and 17.1 million within the urban area.

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Moscow Governorate

Moscow Governorate (Московская губерния; pre-reform Russian: Московская губернія), or the Government of Moscow, was an administrative division (a guberniya) of the Tsardom of Russia, the Russian Empire, and the Russian SFSR, which existed in 1708–1929.

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Moscow State University

Lomonosov Moscow State University (MSU; Московский государственный университет имени М. В. Ломоносова, often abbreviated МГУ) is a coeducational and public research university located in Moscow, Russia.

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Nilpotent group

A nilpotent group G is a group that has an upper central series that terminates with G. Provably equivalent definitions include a group that has a central series of finite length or a lower central series that terminates with.

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Novosibirsk

Novosibirsk (p) is the third-most populous city in Russia after Moscow and St. Petersburg.

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Novosibirsk State University

Novosibirsk State University (NSU) is one of the leading Russian higher-education establishments, located in Novosibirsk, a cultural and industrial center of Siberia.

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Old Style and New Style dates

Old Style (O.S.) and New Style (N.S.) are terms sometimes used with dates to indicate that the calendar convention used at the time described is different from that in use at the time the document was being written.

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Ring (mathematics)

In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.

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Russian Academy of Sciences

The Russian Academy of Sciences (RAS; Росси́йская акаде́мия нау́к (РАН) Rossíiskaya akadémiya naúk) consists of the national academy of Russia; a network of scientific research institutes from across the Russian Federation; and additional scientific and social units such as libraries, publishing units, and hospitals.

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Russian language

Russian (rússkiy yazýk) is an East Slavic language, which is official in Russia, Belarus, Kazakhstan and Kyrgyzstan, as well as being widely spoken throughout Eastern Europe, the Baltic states, the Caucasus and Central Asia.

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Semigroup

In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation.

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Solvable group

In mathematics, more specifically in the field of group theory, a solvable group or soluble group is a group that can be constructed from abelian groups using extensions.

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Soviet Union

The Soviet Union, officially the Union of Soviet Socialist Republics (USSR) was a socialist state in Eurasia that existed from 1922 to 1991.

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Steklov Institute of Mathematics

Steklov Institute of Mathematics or Steklov Mathematical Institute (Математический институт имени В.А.Стеклова) is a premier research institute based in Moscow, specialized in mathematics, and a part of the Russian Academy of Sciences.

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Topological algebra

In mathematics, a topological algebra A is an algebra and at the same time a topological space, where the algebraic and the topological structures are coherent in a specified sense.

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USSR State Prize

The USSR State Prize (Госуда́рственная пре́мия СССР, Gosudarstvennaya premiya SSSR) was the Soviet Union's state honor.

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Yury Yershov

Yuri L. Ershov or Yershov (Юрий Леонидович Ершов, born 1 May 1940) is a Soviet and Russian mathematician.

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Redirects here:

A.I. Mal'tsev, Anatoly Ivanovich Malcev, Anatoly Ivanovich Maltsev, Anatoly Malcev, Mal'tsev, Malcev.

References

[1] https://en.wikipedia.org/wiki/Anatoly_Maltsev

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