English

Identities and quasiidentities in the lattice of overcommutative semigroup varieties

Group Theory 2011-12-08 v1

Abstract

We describe overcommutative varieties of semigroups whose lattice of overcommutative subvarieties satisfies a non-trivial identity or quasiidentity. These two properties turn out to be equivalent.

Keywords

Cite

@article{arxiv.1112.1609,
  title  = {Identities and quasiidentities in the lattice of overcommutative semigroup varieties},
  author = {V. Yu. Shaprynskii},
  journal= {arXiv preprint arXiv:1112.1609},
  year   = {2011}
}

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12 pages