Results 41 to 50 of about 1,595,421 (249)
Condition (K) for inverse semigroups and the ideal structure of their C⁎-algebras [PDF]
Journal of Algebra, 2017 Inspired by results for graph $C^*$-algebras, we investigate connections between the ideal structure of an inverse semigroup $S$ and that of its tight $C^*$-algebra by relating ideals in $S$ to certain open invariant sets in the associated tight groupoid.
Scott M. LaLonde +2 more
semanticscholar +1 more source
Higher Regularity, Inverse and Polyadic Semigroups
Universe, 2021 We generalize the regularity concept for semigroups in two ways simultaneously: to higher regularity and to higher arity. We show that the one-relational and multi-relational formulations of higher regularity do not coincide, and each element has several
Steven Duplij
doaj +1 more source
On universal objects in the class of graph inverse semigroups [PDF]
European Journal of Mathematics, 2017 We show that polycyclic monoids are universal objects in the class of graph inverse semigroups. In particular, we prove that a graph inverse semigroup G ( E ) over a directed graph E embeds into the polycyclic monoid $${\mathscr {P}}_{\lambda }$$ P λ ...
S. Bardyla
semanticscholar +1 more source
A new characterization of a proper type B semigroup
Open Mathematics, 2020 In this paper, we develop the elementary theory of inverse semigroups to the cases of type B semigroups. The main aim of this paper is to study proper type B semigroups. We introduce first the concept of a left admissible triple.
Li Chunhua, Pei Zhi, Xu Baogen
doaj +1 more source
Semigroups of order-decreasing transformations [PDF]
, 2012 Let X be a totally ordered set and consider the semigroups of orderdecreasing (increasing) full (partial, partial one-to-one) transformations of X. In this Thesis the study of order-increasing full (partial, partial one-to-one) transformations has been
Umar, Abdullahi
core +2 more sources
Further Results on the Inverse Along an Element in Semigroups and Rings
Linear and Multilinear Algebra, 2016 Pedro Patricio, Huihui Zhu
exaly +2 more sources
Ordered inverse semigroups [PDF]
Transactions of the American Mathematical Society, 1971 In this paper, we consider two questions: one is to characterize the structure of ordered inverse semigroups and the other is to give a condition in order that an inverse semigroup is orderable. The solution of the first question is carried out in terms of three types of mappings.
openaire +1 more source
On adequate transversals [PDF]
, 2009 We consider adequate transversals of abundant semigroups and prove that, in a particular case, there is a natural embedding of an inverse transversal within a certain regular subsemigroup.
Renshaw, James, Al-Bar, Jehan
core +1 more source
Quasi-ideal transversals of abundant semigroups and spined products
, 2010 We provide a new and much simpler structure for quasi-ideal adequate transversals of abundant semigroups in terms of spined products, which is similar in nature to that given by Saito for weakly multiplicative inverse transversals of regular semigroups ...
Renshaw, James +3 more
core +1 more source
Ordered groupoid quotients and congruences on inverse semigroups [PDF]
, 2016 We introduce a preorder on an inverse semigroup S associated to any normal inverse subsemigroup N, that lies between the natural partial order and Green’s $${\mathcal {J}}$$J–relation.
Nouf AlYamani, N. D. Gilbert
semanticscholar +1 more source