3 citations · 6 across the 6 of their papers we have counts for
6 papers
The Lyapin's notebook: a collection of unsolved problems in Semigroup Theory
S. Bershadsky, S. Kublanovsky, G. Mashevitzky
This collection presents a selected set of unsolved problems in semigroup theory, a fundamental branch of modern algebra. The publication is dedicated to the 110th anniversary of t…
On the finite separability of finitely generated commutative rings
Stanislav Kublanovsky
We find necessary and sufficient conditions for the finite separability of finitely generated commutative rings. Namely, we prove that every such ring is a finite extension of its…
On the finite separability of finitely generated associative rings
Stanislav Kublanovsky
We find necessary and sufficient conditions for the finite separability of monogenic rings. As a corollary, we prove that a finitely generated torsion-free PI-ring is finitely sepa…
Cyclically regular semigroups
Stanislav Kublanovsky
We study varieties of semigroups related to completely 0-simple semigroup. We present here an algorithmic descriptions of these varieties interms of "forbidden" semigroups.
On the Rees-Sushkevich variety
Stanislav Kublanovsky
We study varieties of semigroups related to completely 0-simple semigroup. We present here an algorithmic descriptions of these varieties in terms of "forbidden" semigroups. We als…
A minimal nonfinitely based semigroup whose variety is polynomially recognizable
Mikhail V. Volkov, Svetlana V. Goldberg, Stanislav I. Kublanovsky
We exhibit a 6-element semigroup that has no finite identity basis but nevertheless generates a variety whose finite membership problem admits a polynomial algorithm.