The Endomorphism Semigroup of a Special Semigroup Subrata Majumdar and Mohd

Endomorphism seminear-rings of Brandt semigroups

We consider the endomorphisms of a Brandt semigroup Bn, and the semigroup of mappings E(Bn) that they generate under pointwise composition. We describe all the elements of this semigroup, determine Green’s relations, consider certain special types of mapping which we can enumerate for each n, and give complete calculations for the size of E(Bn) for small n. AMS 2000 Mathematics subject classifi...

Intersection graphs associated with semigroup acts

The intersection graph $mathbb{Int}(A)$ of an $S$-act $A$ over a semigroup $S$ is an undirected simple graph whose vertices are non-trivial subacts of $A$, and two distinct vertices are adjacent if and only if they have a non-empty intersection. In this paper, we study some graph-theoretic properties of $mathbb{Int}(A)$ in connection to some algebraic properties of $A$. It is proved that the fi...

A characterization of triple semigroup of ternary functions and Demorgan triple semigroup of ternary functions

The Structure of Endomorphism monoids of Strong semilattices of left simple semigroups

Endomorphism monoids have long been of interest in universal algebra and also in the study of particular classes of algebraic structures. For any algebra, the set of endomorphisms is closed under composition and forms a monoid (that is, a semigroup with identity). The endomorphism monoid is an interesting structure from a given algebra. In this thesis we study the structure and properties of th...

Filters and the Weakly Almost Periodic Compactification of a Semitopological Semigroup

Let $S$ be a semitopological semigroup. The $wap-$ compactification of semigroup S, is a compact semitopological semigroup with certain universal properties relative to the original semigroup, and the $Lmc-$ compactification of semigroup $S$ is a universal semigroup compactification of $S$, which are denoted by $S^{wap}$ and $S^{Lmc}$ respectively. In this paper, an internal construction of ...