Results 1 to 10 of about 20,464 (181)

On locally compact semitopological O-bisimple inverse ω-semigroups

open access: yesTopological Algebra and its Applications, 2018
We describe the structure of Hausdorff locally compact semitopological O-bisimple inverse ω- semigroups with compact maximal subgroups. In particular, we show that a Hausdorff locally compact semitopological O-bisimple inverse ω-semigroup with a compact ...
Gutik Oleg
doaj   +3 more sources

Finite coverings of semigroups and related structures [PDF]

open access: yesInternational Journal of Group Theory, 2023
For a semigroup $S$, the covering number of $S$ with respect to semigroups, $\sigma_s(S)$, is the minimum number of proper subsemigroups of $S$ whose union is $S$.
Casey Donoven, Luise-Charlotte Kappe
doaj   +1 more source

On epimorphisms and structurally regular semigroups [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2021
In this paper we study epimorphisms, dominions and related properties for some classes of structurally (n,m)-regular semigroups for any pair (n,m) of positive integers. In Section 2, after a brief introduction of these semigroups, we prove that the class
Aftab Shah   +3 more
doaj   +1 more source

Left (Right) Regular and Transposition Regular Semigroups and Their Structures

open access: yesMathematics, 2022
Regular semigroups and their structures are the most wonderful part of semigroup theory, and the contents are very rich. In order to explore more regular semigroups, this paper extends the relevant classical conclusions from a new perspective: by ...
Xiaohong Zhang, Yudan Du
doaj   +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

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

Non-commutative Stone duality: inverse semigroups, topological groupoids and C*-algebras [PDF]

open access: yes, 2012
We study a non-commutative generalization of Stone duality that connects a class of inverse semigroups, called Boolean inverse $\wedge$-semigroups, with a class of topological groupoids, called Hausdorff Boolean groupoids. Much of the paper is given over
Lawson, Mark V
core   +1 more source

Pettis property for Polish inverse semigroups

open access: yesApplied General Topology, 2023
We study a property about Polish inverse semigroups similar to the classical theorem of Pettis about Polish groups. In contrast to what happens with Polish groups, not every Polish inverse semigroup have the Pettis property.
Karen Arana   +2 more
doaj   +1 more source

Amalgamating inverse semigroups over ample semigroups [PDF]

open access: yesProceedings of the Estonian Academy of Sciences
We consider semigroup amalgams (S; T1, T2) in which T1 and T2 are inverse semigroups and S is a non-inverse semigroup. They are known to be non-embeddable if T1 and T2 are both groups (Clifford semigroups), but S is not such. We prove that (S; T1, T2) is
Nasir Sohail
doaj   +1 more source

On generalized Ehresmann semigroups

open access: yesOpen Mathematics, 2017
As a generalization of the class of inverse semigroups, the class of Ehresmann semigroups is introduced by Lawson and investigated by many authors extensively in the literature.
Wang Shoufeng
doaj   +1 more source

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