1 citations · 1 across the 6 of their papers we have counts for
6 papers
Cancellable elements in the lattice of overcommutative semigroup varieties
Vyacheslav Yu. Shaprynskii, Boris M. Vernikov
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 ca…
Cancellable elements of the lattices of varieties of semigroups and epigroups
V. Yu. Shaprynskii, D. V. Skokov, B. M. Vernikov
We completely determine all semigroup [epigroup] varieties that are cancellable elements of the lattice of all semigroup [respectively epigroup] varieties.
Special elements of the lattice of epigroup varieties
V. Yu. Shaprynskii, D. V. Skokov, B. M. Vernikov
We study special elements of eight types (namely, neutral, standard, costandard, distributive, codistributive, modular, lower-modular and upper-modular elements) in the lattice EPI…
Identities and quasiidentities in the lattice of overcommutative semigroup varieties
V. Yu. Shaprynskii
We describe overcommutative varieties of semigroups whose lattice of overcommutative subvarieties satisfies a non-trivial identity or quasiidentity. These two properties turn out t…
Modular and lower-modular elements of lattices of semigroup varieties
V. Yu. Shaprynskii
The paper contains three main results. First, we show that if a commutative semigroup variety is a modular element of the lattice Com of all commutative semigroup varieties then it…
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…