9 papers
The Squire complex and its extensions revisited
Elton Pasku
The Squier complex $\mathcal{D}(\cP)$ has been defined in \cite{LDHM1} as a combinatorial 2-complex. Also several extensions of $\mathcal{D}(\cP)$ are defined and used extensively…
A groupoid approach to the study of fuzzy topological spaces
Anjeza Krakulli, Elton Pasku
The definition of the complement of a fuzzy subset is algebraic in nature and when it is used in the context of fuzzy topological spaces it does not share any similarity with the u…
Fuzzy semigroups via semigroups
Anjeza Krakulli, Elton Pasku
The theory of fuzzy semigroups is a branch of mathematics that arose in early 90's as an effort to characterize properties of semigroups by the properties of their fuzzy subsystems…
An answer to the Whitehead asphericity question
Elton Pasku
The Whitehead asphericity problem, regarded as a problem of combinatorial group theory, asks whether any subpresentation of an aspherical group presentation is also aspherical. We…
On a connection between fuzzy subgroups and -inverse covers of inverse monoids
Elton Pasku
We define two categories, the category of fuzzy subgroups, and the category of -inverse covers of inverse monoids, and prov…
A note on the relation in -semigroups
Aida Shasivari, Elton Pasku
We prove that if is a -semigroup in which left ideal elements commute (condition which is called ), then any -class satisfying the Green condition is…
A semigroup theoretic approach to Whitehead's asphericity question
Elton Pasku
The Whitehead asphericity problem, regarded as a problem of combinatorial group theory, asks whether any subpresentation of an aspherical group presentation is also aspherical. Thi…
The Eilenberg-Mac Lane cohomology of an inverse monoid and the maximum group image
Anjeza Krakulli, Elton Pasku
The aim of this paper is to see at what extent homological properties of an inverse monoid are determined from those of its maximum group image. We provide several evidences that t…
The universal semigroup of a -semigroup
Elton Pasku
Given a -semigroup , we construct a semigroup in such a way that one sided ideals and quasi-ideals of can be regarded as one sided ideals and quasi-ideals respectivel…