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, Sergey Valentinovich, Skokov, Dmitry Vyacheslavovich, Vernikov, Boris Munevich
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/436
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics