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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 838–847
DOI: https://doi.org/10.17377/semi.2017.14.070 (Mi semr826) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Mathematical logic, algebra and number theory

On $\omega$-independent bases for quasi-identities

A. Basheyevaa, A. V. Yakovlevb

a The L. N. Gumilyov Eurasian National University, 2 Satpaev str., 010000 Astana, Kazakhstan
b Novosibirsk State University, 1 Pirogov str., 630090 Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2017.14.070
Abstract: In this article, we continue the study of complexity of quasivariety lattices. We prove that there are continuum many quasivarieties of graphs, monounary algebras, digraphs, and pointed Abelian groups having an $\omega$-independet quasi-equational basis.
Keywords: quasivariety, quasi-equational basis, $\omega$-independent basis.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-6848.2016.1
Received May 18, 2017, published August 18, 2017
Bibliographic databases:
Document Type: Article
UDC: 512.56
MSC: 08C15
Language: Russian
Citation: A. Basheyeva, A. V. Yakovlev, “On $\omega$-independent bases for quasi-identities”, Sib. Èlektron. Mat. Izv., 14 (2017), 838–847
Citation in format AMSBIB
\Bibitem{BasYak17}
\by A.~Basheyeva, A.~V.~Yakovlev
\paper On $\omega$-independent bases for quasi-identities
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 838--847
\mathnet{http://mi.mathnet.ru/semr826}
\crossref{https://doi.org/10.17377/semi.2017.14.070}
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