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Wreath Products of Semigroups and Plotkin’s Problem Full article

Journal Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302
Output data Year: 2023, Volume: 62, Number: 5, Pages: 448–467 Pages count : 20 DOI: 10.1007/s10469-024-09757-y
Tags universal algebraic geometry, semigroup, wreath product
Authors Shevlyakov A.N. 1
Affiliations
1 Sobolev Institute of Mathematics

Funding (1)

1 Russian Science Foundation 22-11-20019

Abstract: We prove that the wreath product C = AB of a semigroup A with zero and an infinite cyclic semigroup B is qω-compact (logically Noetherian). Our result partially solves B. I. Plotkin‘s problem for wreath products.
Cite: Shevlyakov A.N.
Wreath Products of Semigroups and Plotkin’s Problem
Algebra and Logic. 2023. V.62. N5. P.448–467. DOI: 10.1007/s10469-024-09757-y WOS Scopus РИНЦ OpenAlex
Original: Шевляков А.Н.
Сплетения полугрупп и проблема Б. И. Плоткина
Алгебра и логика. 2023. Т.62. №5. С.665–691. DOI: 10.33048/alglog.2023.62.505 РИНЦ
Dates:
Submitted: May 11, 2023
Accepted: Aug 28, 2024
Published print: Oct 4, 2024
Published online: Oct 4, 2024
Identifiers:
Web of science: WOS:001325719200001
Scopus: 2-s2.0-85205570289
Elibrary: 74749867
OpenAlex: W4403144685
Citing: Пока нет цитирований
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