2 papers
math.GR2019
Extensions of semigroups by symmetric inverse semigroups of a bounded finite rank
Oleg Gutik, Oleksandra Sobol
We study the semigroup extension of a semigroup by symmetric inverse semigroups of a bounded finite rank. We describe idempotents and regular elements of t…
math.GN2018
On feebly compact semitopological semilattice
Oleg Gutik, Oleksandra Sobol
We study feebly compact shift-continous topologies on the semilattice . It is proved that such -topology is sequentially pracompact if and only if i…