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- S. V. Streltsov3 profiles23 · h 15
- M. Gritsevich2 profiles17 · h 26
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- M.N. Mikheev Institute of Metal PhysicsRU112 papers
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- Institute of Physics and TechnologyKZ25 papers
- Centre National de la Recherche ScientifiqueFR23 papers
- Russian Academy of SciencesRU22 papers
- Max Planck Institute for Extraterrestrial PhysicsDE21 papers
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7 papers · 1 filter
Cross varieties of aperiodic monoids
Sergey V. Gusev
A variety of universal algebras is called Cross if it is finitely based, finitely generated, and has only finitely many subvarieties. A monoid is aperiodic if all its subgroups are…
Characterization of Cross varieties of -trivial monoids
Sergey V. Gusev, Edmond W. H. Lee, Wen Ting Zhang
A finitely based, finitely generated variety with finitely many subvarieties is a Cross variety. In the present article, it is shown that a variety of -trivial monoids is Cross…
Modular elements in the lattice of monoid varieties
Sergey V. Gusev
An element of a lattice is modular if has no five-element sublattice isomorphic to the pentagon in which would correspond to the lonely midpoint. In the present wor…
Identity bases for finite cyclic semigroups
Mikhail V. Volkov
We provide explicit identity bases for finite cyclic semigroups.
Small monoids generating varieties with uncountably many subvarieties
Sergey V. Gusev
An algebra that generates a variety with uncountably many subvarieties is said to be of type . We show that the Rees quotient monoid of order ten is of type…
Upper-modular and related elements of the lattice of commutative semigroup varieties
B. M. Vernikov
We completely determine upper-modular, codistributive and costandard elements in the lattice of all commutative semigroup varieties. In particular, we prove that the properties of…