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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 3, Pages 31–43
DOI: https://doi.org/10.21538/0134-4889-2016-22-3-31-43 (Mi timm1319) 		 
Semimodular and Arguesian varieties of epigroups. I

B. M. Vernikov, D. V. Skokov

Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg
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DOI: https://doi.org/10.21538/0134-4889-2016-22-3-31-43
Abstract: We describe varieties of epigroups such that they contain at least one 3-step nilpotent epigroup and their lattice of subvarieties is modular, distributive, Arguesian, or semimodular.
Keywords: epigroup, variety, lattice of subvarieties, distributivity, Arguesian variety, modularity, semimodularity.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 2248
НШ-5161.2014.1
Russian Foundation for Basic Research 14-01-00524
Received: 02.08.2015
Bibliographic databases:
Document Type: Article
UDC: 512.532.2
MSC: 20M07, 08B15
Language: Russian
Citation: B. M. Vernikov, D. V. Skokov, “Semimodular and Arguesian varieties of epigroups. I”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 3, 2016, 31–43
Citation in format AMSBIB
\Bibitem{VerSko16}
\by B.~M.~Vernikov, D.~V.~Skokov
\paper Semimodular and Arguesian varieties of epigroups. I
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2016
\vol 22
\issue 3
\pages 31--43
\mathnet{http://mi.mathnet.ru/timm1319}
\crossref{https://doi.org/10.21538/0134-4889-2016-22-3-31-43}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3555708}
\elib{https://elibrary.ru/item.asp?id=26530875}
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