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Ural Mathematical Journal, 2017, Volume 3, Issue 1, Pages 52–67
DOI: https://doi.org/10.15826/umj.2017.1.004 (Mi umj32) 		 
Finite nilsemigroups with modular congruence lattices

Alexander L. Popovich

Ural Federal University, Ekaterinburg, Russia
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DOI: https://doi.org/10.15826/umj.2017.1.004
Abstract: This paper continues the joint work [2] of the author with P. Jones. We describe all finitely generated nilsemigroups with modular congruence lattices: there are 91 countable series of such semigroups. For finitely generated nilsemigroups a simple algorithmic test to the congruence modularity is obtained.
Keywords: Semigroup, Nilsemigroup, Congruence lattice.
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Document Type: Article
Language: English
Citation: Alexander L. Popovich, “Finite nilsemigroups with modular congruence lattices”, Ural Math. J., 3:1 (2017), 52–67
Citation in format AMSBIB
\Bibitem{Pop17}
\by Alexander~L.~Popovich
\paper Finite nilsemigroups with modular congruence lattices
\jour Ural Math. J.
\yr 2017
\vol 3
\issue 1
\pages 52--67
\mathnet{http://mi.mathnet.ru/umj32}
\crossref{https://doi.org/10.15826/umj.2017.1.004}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=MR3684224}
\elib{https://elibrary.ru/item.asp?id=29728774}
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