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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Date: | 2018 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2018
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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. |