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Algebra i logika, 2020, Volume 59, Number 6, Pages 680–701
DOI: https://doi.org/10.33048/alglog.2020.59.604
(Mi al2642)
 

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
Full-text PDF (272 kB) Citations (1)
References:
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.
Funding agency Grant number
Russian Science Foundation 18-71-10028
19-11-00209
Supported by Russian Science Foundation, projects No. 18-71-10028 (Sec. 3) and 19-11-00209 (Sec. 2).
Received: 07.10.2019
Revised: 05.03.2021
English version:
Algebra and Logic, 2021, Volume 59, Issue 6, Pages 456–470
DOI: https://doi.org/10.1007/s10469-021-09619-x
Bibliographic databases:
Document Type: Article
UDC: 512.53
Language: Russian
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
Citation in format AMSBIB
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\by A.~N.~Shevlyakov
\paper Finite submonoids of free left regular bands with unit
\jour Algebra Logika
\yr 2020
\vol 59
\issue 6
\pages 680--701
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\crossref{https://doi.org/10.33048/alglog.2020.59.604}
\transl
\jour Algebra and Logic
\yr 2021
\vol 59
\issue 6
\pages 456--470
\crossref{https://doi.org/10.1007/s10469-021-09619-x}
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  • https://www.mathnet.ru/eng/al2642
  • https://www.mathnet.ru/eng/al/v59/i6/p680
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и логика Algebra and Logic
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    Abstract page:178
    Full-text PDF :20
    References:25
    First page:11
     
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