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Matematicheskie Zametki, 2024, Volume 116, Issue 4, Pages 552–558
DOI: https://doi.org/10.4213/mzm14329 (Mi mzm14329) 		 
On additive semigroups of idempotent semirings with identity

A. A. Petrov, A. P. Shklyaev

Vyatka State University, Kirov
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DOI: https://doi.org/10.4213/mzm14329
Abstract: The notion of an admissible semigroup is introduced. This is an (additive) semigroup on which a multiplication turning it into a multiplicatively idempotent semiring with identity can be defined. Admissible semilattices are studied. In particular, countable admissible and inadmissible “universal” semilattices are constructed, into which all finite semilattices are isomorphically embedded.
Keywords: semilattice, idempotent semiring, admissible semilattice.
Funding agency Grant number
Russian Science Foundation 24-21-00117
This work was financially supported by the Russian Science Foundation, project 24-21-00117, https://rscf.ru/en/project/24-21-00117/.
Received: 03.04.2024
Revised: 30.04.2024
English version:
Mathematical Notes, 2024, Volume 116, Issue 4, Pages 711–716
DOI: https://doi.org/10.1134/S0001434624090281
Bibliographic databases:
Document Type: Article
UDC: 512.558
MSC: 16Y60
Language: Russian
Citation: A. A. Petrov, A. P. Shklyaev, “On additive semigroups of idempotent semirings with identity”, Mat. Zametki, 116:4 (2024), 552–558; Math. Notes, 116:4 (2024), 711–716
Citation in format AMSBIB
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\by A.~A.~Petrov, A.~P.~Shklyaev
\paper On additive semigroups of idempotent semirings with identity
\jour Mat. Zametki
\yr 2024
\vol 116
\issue 4
\pages 552--558
\mathnet{http://mi.mathnet.ru/mzm14329}
\crossref{https://doi.org/10.4213/mzm14329}
\transl
\jour Math. Notes
\yr 2024
\vol 116
\issue 4
\pages 711--716
\crossref{https://doi.org/10.1134/S0001434624090281}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85213379800}
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