In this paper, using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, the concept of (∈,∈ ∨q)fuzzy interior ideals in a Γ-semigroup has been introduced and some of their important related properties have been investigated. Characterizations of regular Γsemigroups, intra-regular Γ-semigroups, and semisimple Γ-semigroups in terms of (∈,∈ ∨q)-fuzzy interior ideals have also been ob...

We classify all cross-sections of Green’s relations L and R in the Brauer semigroup. The regular behavior of such cross-sections starts from n = 7. We show that in the regular case there are essentially two different cross-sections and all others are Sn-conjugated to one of these two. We also classify all cross-sections up to isomorphism.

In this paper we propose a new technical tool for analyzing representations of Hilbert C∗-product systems. Using this tool, we give a new proof that every doubly commuting representation over N has a regular isometric dilation, and we also prove sufficient conditions for the existence of a regular isometric dilation of representations over more general subsemigroups of Rk+.

In this study, we define new semigroup structures using the set S = a ∈ | 0 which is called source of semiprimeness for a id="M2"> with zero element. id="M3"> open="|" close="|" − ide...

Using a variant of Schreier’s Theorem, and the theory of Green’s relations, we show how to reduce the computation of an arbitrary subsemigroup of a finite regular semigroup to that of certain associated subgroups. Examples of semigroups to which these results apply include many important classes: transformation semigroups, partial permutation semigroups and inverse semigroups, partition monoids...

the aim of this paper is to study semigroups possessing $e$-regular elements, where an element $a$ of a semigroup $s$ is {em $e$-regular} if $a$ has an inverse $a^circ$ such that $aa^circ,a^circ a$ lie in $ esubseteq e(s)$. where $s$ possesses `enough' (in a precisely defined way) $e$-regular elements, analogues of green's lemmas and even of green's theorem hold, where green&apos...

This paper analyzes the relation between commuting time and health in the UK. I focus on four different types of health outcomes: subjective health measures, objective health measures, health behavior, and healthcare utilization. Fixed effect models are estimated with British Household Panel Survey data. I find that whereas objective health and health behavior are barely affected by commuting t...

The variant of a semigroup S with respect to an element a ∈ S, denoted S, is the semigroup with underlying set S and operation ? defined by x ? y = xay for x, y ∈ S. In this article, we study variants T a X of the full transformation semigroup TX on a finite set X. We explore the structure of T a X as well as its subsemigroups Reg(T a X) (consisting of all regular elements) and E X (consisting ...

Let S be a semigroup. For a, x ∈ S such that a = axa, we say that x is an associate of a. A subgroup G of S which contains exactly one associate of each element of S is called an associate subgroup of S. It induces a unary operation in an obvious way, and we speak of a unary semigroup satisfying three simple axioms. A normal cryptogroup S is a completely regular semigroup whose H -relation is a...