Bi-Interior Ideals of Semigroups
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, as a further generalization of ideals, we introduce the notion of bi-interior ideal as a generalization of quasi ideal, bi-ideal and interior ideal of semigroup and study the properties of bi-interior ideals of semigroup, simple semigroup ...
Rao M. Murali Krishna
doaj +1 more source
Two Generalizations of Homogeneity in Groups with Applications to Regular Semigroups [PDF]
, 2014 Let $X$ be a finite set such that $|X|=n$ and let $i\leq j \leq n$. A group $G\leq \sym$ is said to be $(i,j)$-homogeneous if for every $I,J\subseteq X$, such that $|I|=i$ and $|J|=j$, there exists $g\in G$ such that $Ig\subseteq J$.
Araújo, João, Cameron, Peter J.
core +2 more sources
A study on soft rough semigroups and corresponding decision making applications
Open Mathematics, 2017 In this paper, we study a kind of soft rough semigroups according to Shabir’s idea. We define the upper and lower approximations of a subset of a semigroup.
Wang Qiumei +2 more
doaj +1 more source
Orbits of primitive k-homogenous groups on (N − k)-partitions with applications to semigroups [PDF]
, 2017 © 2018 American Mathematical Society. The purpose of this paper is to advance our knowledge of two of the most classic and popular topics in transformation semigroups: automorphisms and the size of minimal generating sets. In order to do this, we examine
Araújo, João +2 more
core +2 more sources
Cross-connections of the singular transformation semigroup [PDF]
, 2017 Cross-connection is a construction of regular semigroups using certain categories called normal categories which are abstractions of the partially ordered sets of principal left (right) ideals of a semigroup.
Muhammed, P. A. Azeef, Rajan, A. R.
core +1 more source
Covers for regular semigroups and an application to complexity [PDF]
, 1943 A major result of D.B. McAlister for inverse semigroups is generalised in the paper to classes of regular semigroups, including the class of all regular semigroups.
Trotter, P.G.
core +1 more source
Quasi-hereditary structure of twisted split category algebras revisited [PDF]
, 2014 Let $k$ be a field of characteristic $0$, let $\mathsf{C}$ be a finite split category, let $\alpha$ be a 2-cocycle of $\mathsf{C}$ with values in the multiplicative group of $k$, and consider the resulting twisted category algebra $A:=k_\alpha\mathsf{C}$.
Boltje, Robert, Danz, Susanne
core +1 more source
Associate inverse subsemigroups of regular semigroups [PDF]
, 2009 By an associate inverse subsemigroup of a regular semigroup S we mean a subsemigroup T of S containing a least associate of each x ∈ S, in relation to the natural partial order ≤S.
Billhardt, Bernd +3 more
core +1 more source
Semigroup Closures of Finite Rank Symmetric Inverse Semigroups
, 2008 We introduce the notion of semigroup with a tight ideal series and investigate their closures in semitopological semigroups, particularly inverse semigroups with continuous inversion.
A. Abd-Allah +35 more
core +1 more source
Groups that together with any transformation generate regular semigroups or idempotent generated semigroups [PDF]
, 2011 Let a be a non-invertible transformation of a finite set and let G be a group of permutations on that same set. Then 〈G,a〉∖G〈G,a〉∖G is a subsemigroup, consisting of all non-invertible transformations, in the semigroup generated by G and a .
Araújo, João +2 more
core +1 more source