Automorphisms of the semigroup end(K[x1, …, xn])

A. Belov-Kanel; R. Lipyanski

doi:10.1007/s10958-012-1018-6

Automorphisms of the semigroup end(K[x₁, …, x_n])

A. Belov-Kanel
, R. Lipyanski

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We describe the group G = AutEnd(K[x₁, …, x_n]), where K is an arbitrary field. A similar result is obtained also for the automorphism group of the category CA° of finitely generated free commutative-associative algebras of the variety commutative algebras. This solves two problems posed by B. Plotkin ([4, Problems 12 and 15]).

Original language	English
Pages (from-to)	706-711
Number of pages	6
Journal	Journal of Mathematical Sciences (United States)
Volume	186
Issue number	5
DOIs	https://doi.org/10.1007/s10958-012-1018-6
State	Published - 1 Nov 2012

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Applied Mathematics

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10.1007/s10958-012-1018-6

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abstract = "We describe the group G = AutEnd(K[x1, …, xn]), where K is an arbitrary field. A similar result is obtained also for the automorphism group of the category CA° of finitely generated free commutative-associative algebras of the variety commutative algebras. This solves two problems posed by B. Plotkin ([4, Problems 12 and 15]).",

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AB - We describe the group G = AutEnd(K[x1, …, xn]), where K is an arbitrary field. A similar result is obtained also for the automorphism group of the category CA° of finitely generated free commutative-associative algebras of the variety commutative algebras. This solves two problems posed by B. Plotkin ([4, Problems 12 and 15]).

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Automorphisms of the semigroup end(K[x₁, …, x_n])

Abstract

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