Results 21 to 30 of about 1,595,421 (249)

On a class of inverse semigroups related to Leavitt path algebras

open access: yes, 2021
We introduce a class of inverse semigroups built from directed graphs that we refer to as Leavitt inverse semigroups. These semigroups are closely related to graph inverse semigroups and Leavitt path algebras.
J. Meakin, David Milan, Zheng-Pan Wang
semanticscholar   +1 more source

Ehresmann Semigroups from a Range Restriction Viewpoint

open access: yesJournal of Mathematics, 2021
The first theorem in this article provides the connection between Ehresmann semigroups and range prerestriction semigroups defined by the author. By this connection, we can redefine any Ehresmann semigroups by two unary operations and eight axioms.
Wadii Hajji
doaj   +1 more source

Tight and Cover-to-Join Representations of Semilattices and Inverse Semigroups [PDF]

open access: yesOperator Theory, Functional Analysis and Applications, 2019
We discuss the relationship between tight and cover-to-join representations of semilattices and inverse semigroups, showing that a slight extension of the former, together with an appropriate selection of codomains, makes the two notions equivalent. As a
R. Exel
semanticscholar   +1 more source

The tight groupoid of the inverse semigroups of left cancellative small categories [PDF]

open access: yesTransactions of the American Mathematical Society, 2019
We fix a path model for the space of filters of the inverse semigroup S Λ \mathcal {S}_\Lambda associated to a left cancellative small category Λ \Lambda .
Eduard Ortega, E. Pardo
semanticscholar   +1 more source

Coverages on inverse semigroups [PDF]

open access: yesSemigroup Forum, 2020
First we give a definition of a coverage on a inverse semigroup that is weaker than the one gave by a Lawson and Lenz and that generalizes the definition of a coverage on a semilattice given by Johnstone. Given such a coverage, we prove that there exists a pseudogroup that is universal in the sense that it transforms cover-to-join idempotent-pure maps ...
openaire   +3 more sources

Automatic presentations for semigroups [PDF]

open access: yes, 2009
Special Issue: 2nd International Conference on Language and Automata Theory and Applications (LATA 2008)This paper applies the concept of FA-presentable structures to semigroups.
Oliver, Graham   +4 more
core   +2 more sources

Conjugacy in inverse semigroups [PDF]

open access: yesJournal of Algebra, 2018
In a group $G$, elements $a$ and $b$ are conjugate if there exists $g\in G$ such that $g^{-1} ag=b$. This conjugacy relation, which plays an important role in group theory, can be extended in a natural way to inverse semigroups: for elements $a$ and $b ...
J. Araújo, M. Kinyon, J. Konieczny
semanticscholar   +1 more source

Self-Similar Inverse Semigroups from Wieler Solenoids

open access: yesMathematics, 2020
Wieler showed that every irreducible Smale space with totally disconnected local stable sets is an inverse limit system, called a Wieler solenoid. We study self-similar inverse semigroups defined by s-resolving factor maps of Wieler solenoids.
Inhyeop Yi
doaj   +1 more source

Partial actions and an embedding theorem for inverse semigroups [PDF]

open access: yesPeriodica Mathematica Hungarica, 2017
We give a simple construction involving partial actions which permits us to obtain an easy proof of a weakened version of L. O’Carroll’s theorem on idempotent pure extensions of inverse semigroups.
M. Khrypchenko
semanticscholar   +1 more source

On locally compact semitopological graph inverse semigroups [PDF]

open access: yes, 2018
In this paper we investigate locally compact semitopological graph inverse semigroups. Our main result is the following: if a directed graph $E$ is strongly connected and contains a finite amount of vertices then a locally compact semitopological graph ...
S. Bardyla
semanticscholar   +1 more source

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