Cancellable elements in the lattice of overcommutative semigroup varieties

We completely determine all cancellable elements in the lattice OC of overcommutative semigroup varieties. In particular, we prove that an overcommutative semigroup variety is a cancellable element of the lattice OC if and only if it is a neutral element of this lattice

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Bibliographic Details
Published in:arXiv.org 2020-04
Main Authors: Vyacheslav Yu Shaprynskii, Vernikov, Boris M
Format: Article
Language:English
Subjects:
Semigroups
Online Access:Get full text
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Summary:We completely determine all cancellable elements in the lattice OC of overcommutative semigroup varieties. In particular, we prove that an overcommutative semigroup variety is a cancellable element of the lattice OC if and only if it is a neutral element of this lattice
ISSN:2331-8422