Results 11 to 20 of about 1,035 (227)

Brandt Extensions and Primitive Topological Inverse Semigroups [PDF]

International Journal of Mathematics and Mathematical Sciences, 2010
We study (countably) compact and (absolutely) 𝐻-closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological
Tetyana Berezovski, Oleg Gutik, Kateryna Pavlyk   +2 more
doaj   +2 more sources

Introduction to Inverse Semigroups

, 2023
This is an account of the theory of inverse semigroups, assuming only that the reader knows the basics of semigroup theory.
Lawson, Mark V.
openaire   +3 more sources

Cross-connection structure of locally inverse semigroups [PDF]

, 2023
Locally inverse semigroups are regular semigroups whose idempotents form pseudo-semilattices. We characterize the categories that correspond to locally inverse semigroups in the realm of Nambooripad's cross-connection theory.
Auinger, K., Volkov, M. V., Azeef, Muhammed, P. A.   +2 more
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Presentations of inverse semigroups, their kernels and extensions [PDF]

, 2011
"Part of this work was done while Gray was an EPSRC Postdoctoral Research Fellow at the University of St Andrews, Scotland"Let S be an inverse semigroup and let π:S→T be a surjective homomorphism with kernel K.
Ruskuc, Nik, Gray, Robert, Carvalho, Catarina, CATARINA CARVALHO, Gray, R, Gray, Robert D., NIK RUSKUC, ROBERT D. GRAY, Carvalho, C.A.   +8 more
core   +1 more source

Generalised inverse semigroups with the smallest element

Journal of Applied Mathematics and Computational Mechanics, 2013
In this paper we consider properties of generalised inverse semigroups with the smallest element. We show that if a generalised inverse semigroup has the smallest element, and it consists of at least two elements, we can leave the smallest element and we
Jolanta Lipińska
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Amalgamating inverse semigroups over ample semigroups [PDF]

Proceedings 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 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
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A characterization of translational hulls of a strongly right type B semigroup

Open Mathematics, 2019
The aim of this paper is to study the translational hull of a strongly right type B semigroup. Our main result is to prove that the translational hull of a strongly right type B semigroup is itself a strongly right type B semigroup. As an application, we
Li Chunhua, Xu Baogen
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The lattice of (2, 1)-congruences on a left restriction semigroup

Open Mathematics, 2022
All the (2, 1)-congruences on a left restriction semigroup become a complete sublattice of its lattice of congruences. The aim of this article is to study certain fundamental properties of this complete sublattice.
Liu Haijun, Guo Xiaojiang
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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
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