A Semigroup Associated With a Transformation Group

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...

Pseudodifferential operators associated with a semigroup of operators

A Combinatorial Property of the Full Transformation Semigroup

Let c () be the collapse of full transformation semigroup, Tn. Then the general formula to calculate the number of collapsible elements, | tα-1| 2 is derived for all n 0, which is an extension of [1] (A.O. Adeniji and S.O. Makanjuola (2008), ‘On some combinatorial results of collapse and properties of height in full transformation semigroups,’ African Journal of Computing & ICT (Journal of the...

new semigroup compactifications via the enveloping semigroups of associated flows

this thesis deals with the construction of some function algebras whose corresponding semigroup compactification are universal with respect to some properies of their enveloping semigroups. the special properties are of beigan a left zero, a left simple, a group, an inflation of the right zero, and an inflation of the rectangular band.

Module cohomology group of inverse semigroup algebras

Let $S$ be an inverse semigroup and let $E$ be its subsemigroup of idempotents. In this paper we define the $n$-th module cohomology group of Banach algebras and show that the first module cohomology group $HH^1_{ell^1(E)}(ell^1(S),ell^1(S)^{(n)})$ is zero, for every odd $ninmathbb{N}$. Next, for a Clifford semigroup $S$ we show that $HH^2_{ell^1(E)}(ell^1(S),ell^1(S)^{(n)})$ is a Banach sp...