Results 181 to 190 of about 1,026,932 (240)

On universal objects in the class of graph inverse semigroups

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

Amenability and uniqueness for groupoids associated with inverse semigroups

, 2015
We investigate recent uniqueness theorems for reduced $$C^*$$C∗-algebras of Hausdorff étale groupoids in the context of inverse semigroups. In many cases the distinguished subalgebra is closely related to the structure of the inverse semigroup.
Scott M. LaLonde, David Milan
semanticscholar   +1 more source

Semigroups of inverse quotients

Periodica Mathematica Hungarica, 2012
The paper discusses the notion of left I-quotients in inverse semigroups. A subsemigroup \(S\) of an inverse semigroup \(Q\) is called a left I-order in \(Q\) (and \(Q\) is a semigroup of left I-quotients of \(S\)) if every \(q\in Q\) can be written as \(q=a^{-1}b\) where \(a,b\in S\).
Ghroda, Nassraddin, Gould, Victoria
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Reduced C*-algebras of Fell bundles over inverse semigroups

, 2015
We construct a weak conditional expectation from the section C*-algebra of a Fell bundle over a unital inverse semigroup to its unit fibre. We use this to define the reduced C*-algebra of the Fell bundle.
Alcides Buss, R. Exel, R. Meyer
semanticscholar   +1 more source

A structural property of Adian inverse semigroups

, 2015
We prove that an inverse semigroup over an Adian presentation is E-unitary.
Muhammad Inam, J. Meakin, R. Ruyle
semanticscholar   +1 more source

On Free Inverse Semigroups

SemiGroup Forum, 2000
For a given set \(X\), denote by \(G_X\) the set of finite directed trees whose edges are labelled by members of \(X\), with two distinguished vertices. In this note, using techniques of rewriting theory, a new proof is given of the theorem of Munn that the free inverse semigroup on \(X\) is isomorphic to a semigroup defined on the set of so-called ...
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Compact Topological Inverse Semigroups

Semigroup Forum, 2000
A topological inverse semigroup is a Hausdorff topological space together with a continuous multiplication and an inversion. With every topological inverse semigroup \(S\) one can associate its band of idempotents \(E(S)\). This paper studies compact topological inverse semigroups by relating them to their band of idempotents. Next, we describe briefly
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Enumeration of finite inverse semigroups

Semigroup Forum, 2013
We give an efficient algorithm for the enumeration up to isomorphism of the inverse semigroups of order n, and we count the number S(n) of inverse semigroups of order n≤15\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{
Martin E. Malandro
semanticscholar   +1 more source

Inverse semigroups with idempotent-fixing automorphisms

, 2013
A celebrated result of J. Thompson says that if a finite group $$G$$G has a fixed-point-free automorphism of prime order, then $$G$$G is nilpotent. The main purpose of this note is to extend this result to finite inverse semigroups.
J. Araújo, M. Kinyon
semanticscholar   +1 more source

Pseudo-inverses in Semigroups

Mathematical Proceedings of the Cambridge Philosophical Society, 1961
Drazin (2) has recently introduced the concept of a pseudo-invertible element of an associative ring or semigroup. In this note we first show that such an element of a semigroup S may be characterized by the fact that some power of it lies in a subgroup of S.
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