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Algebra i logika, 2023, Volume 62, Number 5, Pages 665–691
DOI: https://doi.org/10.33048/alglog.2023.62.505 (Mi al2782) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Wreath products of semigroups and Plotkin's problem

A. N. Shevlyakov

Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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DOI: https://doi.org/10.33048/alglog.2023.62.505
Abstract: We prove that the wreath product $C=A\wr B$ of a semigroup $A$ with zero and an infinite cyclic semigroup $B$ is ${\mathbf{q}_\omega}$-compact (logically Noetherian). Our result partially solves B. I. Plotkin`s problem for wreath products.
Keywords: universal algebraic geometry, semigroup, wreath product.
Funding agency Grant number
Russian Science Foundation 22-11-20019
Supported by Russian Science Foundation, grant No. 22-11-20019.
Received: 11.05.2023
Revised: 28.08.2024
English version:
Algebra and Logic, 2023, Volume 62, Issue 5, Pages 448–467
DOI: https://doi.org/10.1007/s10469-024-09757-y
Document Type: Article
UDC: 512.53
Language: Russian
Citation: A. N. Shevlyakov, “Wreath products of semigroups and Plotkin's problem”, Algebra Logika, 62:5 (2023), 665–691; Algebra and Logic, 62:5 (2023), 448–467
Citation in format AMSBIB
\Bibitem{She23}
\by A.~N.~Shevlyakov
\paper Wreath products of semigroups and Plotkin's problem
\jour Algebra Logika
\yr 2023
\vol 62
\issue 5
\pages 665--691
\mathnet{http://mi.mathnet.ru/al2782}
\transl
\jour Algebra and Logic
\yr 2023
\vol 62
\issue 5
\pages 448--467
\crossref{https://doi.org/10.1007/s10469-024-09757-y}
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    • This publication is cited in the following 1 articles:
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    		Алгебра и логика Algebra and Logic
     
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