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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 3, Pages 244–250
DOI: https://doi.org/10.21538/0134-4889-2016-22-3-244-250 (Mi timm1340) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Special elements of certain types in the lattice of epigroup varieties

D. V. Skokov

Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg
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DOI: https://doi.org/10.21538/0134-4889-2016-22-3-244-250
Abstract: Lower-modular, codistributive and costandard elements of the lattice of all epigroup varieties are studied. Lower-modular and costandard elements are completely classified, and codistributive elements are described within a wide class of epigroup varieties that includes all commutative varieties. In particular, we verify that, in the lattice of all epigroup varieties, an element is costandard if and only if it is neutral and an element is modular whenever it is lower-modular.
Keywords: epigroup, variety, lattice, neutral element, lower-modular element, codistributive element, costandard element.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 2248
Russian Foundation for Basic Research 14-01-00524
Received: 24.07.2015
Bibliographic databases:
Document Type: Article
UDC: 512.532.2
MSC: 20M07, 08B15
Language: Russian
Citation: D. V. Skokov, “Special elements of certain types in the lattice of epigroup varieties”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 3, 2016, 244–250
Citation in format AMSBIB
\Bibitem{Sko16}
\by D.~V.~Skokov
\paper Special elements of certain types in the lattice of epigroup varieties
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2016
\vol 22
\issue 3
\pages 244--250
\mathnet{http://mi.mathnet.ru/timm1340}
\crossref{https://doi.org/10.21538/0134-4889-2016-22-3-244-250}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3555729}
\elib{https://elibrary.ru/item.asp?id=26530899}
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