Cancellable elements of the lattice of semigroup varieties

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.

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Bibliographic Details
Date:2018
Main Authors: Gusev, S.V., Skokov, D.V., Vernikov, B.M.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2018
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/188372
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Cancellable elements of the lattice of semigroup varieties / S.V. Gusev, D.V. Skokov, B.M. Vernikov // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 34–46. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine