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Algebra and Discrete Mathematics, 2018, Volume 26, Issue 1, Pages 34–46
(Mi adm668)
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This article is cited in 2 scientific papers (total in 2 papers)
RESEARCH ARTICLE
Cancellable elements of the lattice of semigroup varieties
Sergey V. Gusev, Dmitry V. Skokov, Boris M. Vernikov Institute of Natural Sciences and Mathematics, Ural Federal University, Lenina 51, 620000 Ekaterinburg, Russia
Abstract:
We completely determine all commutative semigroup varieties that are cancellable elements of the lattice SEM of all semigroup varieties. In particular, we verify that a commutative semigroup variety is a cancellable element of the lattice SEM if and only if it is a modular element of this lattice.
Keywords:
semigroup, variety, cancellable element of a lattice, modular element of a lattice.
Received: 30.03.2017
Citation:
Sergey V. Gusev, Dmitry V. Skokov, Boris M. Vernikov, “Cancellable elements of the lattice of semigroup varieties”, Algebra Discrete Math., 26:1 (2018), 34–46
Linking options:
https://www.mathnet.ru/eng/adm668 https://www.mathnet.ru/eng/adm/v26/i1/p34
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Abstract page: | 158 | Full-text PDF : | 73 | References: | 21 |
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