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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 5, Pages 1177–1193
DOI: https://doi.org/10.33048/smzh.2020.61.517 (Mi smj6046) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a class of subsemigroup lattices

M. V. Schwidefskyabc

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
c Novosibirsk State Technical University
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DOI: https://doi.org/10.33048/smzh.2020.61.517
Abstract: Under study is the structure of subsemigroup lattices of semigroups of elementary types. We establish that the subsemigroup lattices of semigroups of elementary types are lattice-universal. Also, we show that, for a series of classes ${\bold K}$ of algebraic structures, each subsemigroup lattice of the semigroup of elementary types of the structures from ${\bold K}$ contains the ideal lattice of a free lattice of countable rank as a sublattice.
Keywords: semigroup, lattice, $Q$-universality, elementary type.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences I.1.1, проект 0314-2019-0003
Russian Science Foundation 19-11-00209
The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project 0314–2019–0003). The results of <a data-track="click" data-track-label="link" data-track-action="section anchor" href="/article/10.1134/S0037446620050171#Sec13">Section 4</a> were obtained under the support of the Russian Science Foundation (Project 19–11–00209).
Received: 14.06.2019
Revised: 17.07.2020
Accepted: 10.08.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 5, Pages 941–952
DOI: https://doi.org/10.1134/S0037446620050171
Bibliographic databases:
Document Type: Article
UDC: 512.56
MSC: 06B23
Language: Russian
Citation: M. V. Schwidefsky, “On a class of subsemigroup lattices”, Sibirsk. Mat. Zh., 61:5 (2020), 1177–1193; Siberian Math. J., 61:5 (2020), 941–952
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Сибирский математический журнал Siberian Mathematical Journal
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