most citedDefinability of the variety generated by a commutative monoid in the lattice of commutative semigroup varieties

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.GR2010★ 1 cited

Definability of the variety generated by a commutative monoid in the lattice of commutative semigroup varieties

B. M. Vernikov

Let M be a commutative monoid. We provide an explicit first-order formular that defines the variety generated by M in the lattice of commutative semigroup varieties.

math.GR2009

Special elements in the lattice of overcommutative semigroup varieties revisited

V. Yu. Shaprynskii, B. M. Vernikov

We completely determine all distributive, codistributive, standard, costandard, and neutral elements in the lattice of overcommutative semigroup varieties, thus correcting a gap co…