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This article is cited in 1 scientific paper (total in 1 paper)
Finite submonoids of free left regular bands with unit
A. N. Shevlyakov Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
We deal with subsemigroups of a free left regular band ${\mathcal{F}}_n$ of rank $n$. It is proved that any finite, right hereditary, left regular band with a linearly ordered support semilattice is embedded in ${\mathcal{F}}_n$ for some $n$.
Keywords:
free left regular band, submonoid, subsemigroup, support semilattice.
Received: 07.10.2019 Revised: 05.03.2021
Citation:
A. N. Shevlyakov, “Finite submonoids of free left regular bands with unit”, Algebra Logika, 59:6 (2020), 680–701; Algebra and Logic, 59:6 (2021), 456–470
Linking options:
https://www.mathnet.ru/eng/al2642 https://www.mathnet.ru/eng/al/v59/i6/p680
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Abstract page: | 179 | Full-text PDF : | 20 | References: | 25 | First page: | 11 |
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