19 citations · 62 across the 15 of their papers we have counts for
12 papers · 1 filter
On certain classes of commutative g-dimonoids
Volodymyr Gavrylkiv, Inna Hlushak, Kateryna Koporkh +2
We study g-dimonoids, which are algebraic structures equipped with two associative binary operations satisfying a prescribed system of axioms. We develop a construction of g-dimono…
On the number of -dimonoids of small order
Volodymyr M. Gavrylkiv
We study -dimonoids, that is, algebraic structures endowed with two associative binary operations satisfying a specified system of axioms. The paper investigates duality and iso…
On dimonoids of small order
Volodymyr M. Gavrylkiv
This paper is devoted to the study of dimonoids, i.e., algebraic structures equipped with two associative binary operations satisfying a given system of axioms. We introduce severa…
Note on the number of doppelsemigroups of small order
Volodymyr M. Gavrylkiv
We study doppelsemigroups, i.e., algebraic structures equip\-ped with two associative binary operations satisfying a specified system of axioms. We investigate duality and isomorph…
On some classes of noncommutative dimonoids
Volodymyr Gavrylkiv
The present paper is devoted to the study of dimonoids, algebraic structures with two associative binary operations that satisfy a prescribed system of axioms. We investigate the p…
Interassociativity and three-element doppelsemigroups
Volodymyr Gavrylkiv, Diana Rendziak
In the paper we characterize all interassociates of some non-inverse semigroups and describe up to isomorphism all three-element (strong) doppelsemigroups and their automorphism gr…
Automorphism groups of superextensions of finite monogenic semigroups
Taras Banakh, Volodymyr Gavrylkiv
A family of subsets of a set is called linked if for any . A linked family of subsets of is maximal linked…
Automorphism groups of superextensions of groups
Taras Banakh, Volodymyr Gavrylkiv
The superextension of a set consists of all maximal linked families on . Any associative binary operation can be extended to an associative binar…
Characterizing semigroups with commutative extensions , , ,
Taras Banakh, Volodymyr Gavrylkiv
We characterize semigroups whose semigroups of filters , maximal linked systems , linked upfamilies , and upfamilies are commutative.
Algebra in superextensions of inverse semigroups
Taras Banakh, Volodymyr Gavrylkiv
We find necessary and sufficient conditions on an (inverse) semigroup under which its semigroups of maximal linked systems , filters , linked upfamilies , a…
Algebra in the superextensions of semilattices
Taras Banakh, Volodymyr Gavrylkiv
Given a semilattice we study the algebraic properties of the semigroup of upfamilies on . The semigroup contains the Stone-Cech extension ,…
Algebra in superextensions of twinic groups
Taras Banakh, Volodymyr Gavrylkiv
Given a group we study the algebraic structure of the compact right-topological semigroup consisting of maximal linked systems on . This semigroup contains the semigr…