Identities and quasiidentities in the lattice of overcommutative semigroup varieties

2011/12/07 by Shaprynskii, V. Yu.
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1112.1609

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.

Related

• Special elements in the lattice of overcommutative semigroup varieties revisited
• Cancellable elements in the lattice of overcommutative semigroup varieties
• On modular and cancellable elements of the lattice of semigroup\n varieties
• Special elements in lattices of semigroup varieties
• Proofs of definability of some varieties and sets of varieties of semigroups