26 citations · 120 across the 34 of their papers we have counts for
36 papers
Globalization of partial actions of semigroups
Ganna Kudryavtseva, Valdis Laan
We propose two universal constructions of globalization of a partial action of a semigroup on a set, satisfying certain conditions which arise in Morita theory of semigroups. One o…
Proper Ehresmann semigroups
Ganna Kudryavtseva, Valdis Laan
We propose a notion of a proper Ehresmann semigroup based on a three-coordinate description of its generating elements governed by certain labelled directed graphs with additional…
Quotients of the Booleanization of an inverse semigroup
Ganna Kudryavtseva
We introduce -to-join representations of inverse semigroups which are a relaxation of the notion of a cover-to-join representation. We construct the universal -to-join Boolea…
Partial actions and proper extensions of two-sided restriction semigroups
Mikhailo Dokuchaev, Mykola Khrypchenko, Ganna Kudryavtseva
We prove a structure result on proper extensions of two-sided restriction semigroups in terms of partial actions, generalizing respective results for monoids and for inverse semigr…
-inverse monoids as algebraic structures in enriched signature
K. Auinger, G. Kudryavtseva, M. B. Szendrei
Every -inverse monoid can be equipped with the unary operation which maps each element to the maximum element of its -class. In this enriched signature, the class of all -…
Two-sided expansions of monoids
Ganna Kudryavtseva
We initiate the study of expansions of monoids in the class of two-sided restriction monoids and show that generalizations of the Birget-Rhodes prefix group expansion, despite the…