Equationally Noetherian varieties of semigroups and B.Plotkin`s problem Full article
| Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2023, Volume: 20, Number: 2, Pages: 724-734 Pages count : 11 DOI: 10.33048/semi.2023.20.042 | ||
| Tags | semigroups, varieties, universal algebraic geometry | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 22-11-20019 |
Abstract:
We consider systems of semigroup equations with constants. A semigroup S is called equationally Noetherian if any system of equations is equivalent over S to a nite subsystem. In the current paper we describe all semigroup varieties that consist of equationally Noetherian semigroups. Our result solves the problem of B.Plotkin for semigroup varieties.
Cite:
Shevlyakov A.N.
Equationally Noetherian varieties of semigroups and B.Plotkin`s problem
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023. V.20. N2. P.724-734. DOI: 10.33048/semi.2023.20.042 WOS Scopus РИНЦ
Equationally Noetherian varieties of semigroups and B.Plotkin`s problem
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023. V.20. N2. P.724-734. DOI: 10.33048/semi.2023.20.042 WOS Scopus РИНЦ
Dates:
| Submitted: | Aug 5, 2022 |
| Published print: | Sep 22, 2023 |
| Published online: | Sep 22, 2023 |
Identifiers:
| Web of science: | WOS:001080360900003 |
| Scopus: | 2-s2.0-85172444153 |
| Elibrary: | 82134629 |
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