Abundant semigroups with a multiplicative type A transversal

A El-Qallali - Semigroup Forum, 1993 - Springer
Abundant semigroups with a multiplicative type A transversal Page 1 Semigroup Forum Vol. 47
(1993) 327-340 9 1993 Springer-Verlag New York Inc. RESEARCH ARTICLE Abundant …

Congruences on ample semigroups

A El-Qallali - Semigroup Forum, 2019 - Springer
Congruences on an ample semigroup S are investigated. For any admissible congruence ρ
ρ on S, the minimum σ _ ρ σ ρ (the maximum μ _ ρ μ ρ) admissible congruence on S whose …

Abundant semigroups with a multiplicative adequate transversal

XJ Guo - Acta Mathematica Sinica, 2002 - Springer
The aim of this paper is to investigate abundant semigroups with a multiplicative adequate
transversal. Some properties and characterizations for such semigroups are obtained. In …

Abundant semigroups with Q-adequate transversals and some of their special cases

X Guo, KP Shum - Algebra Colloquium, 2007 - World Scientific
Regular semigroups with multiplicative inverse transversals were first studied by Blyth and
McFadden in 1982. In this paper, we extend the concept of inverse transversals to some kind …

A network of congruences on an ample semigroup

A El-Qallali - Semigroup Forum, 2021 - Springer
For an admissible congruence γ γ on an ample semigroup S, the minimum admissible
congruence γ _t γ t whose trace is tr γ tr γ has been determined by the author, and Fountain …

Algorithm for semigroup bases I

MI Sampson, Z Lipcsey, EO Akak, FA Efiong… - International Journal of …, 2024 - tnsmb.org
The study of generating sets and bases in semigroup theory started with the experience in
the topics in vector spaces, and so with comparison, theorems on independent generating …

Idempotent-connected abundant semigroups which are disjoint unions of quasi-ideal adequate transversals

X Guo, LM Wang - 2002 - Taylor & Francis
The aim of this paper is to study idempotent-connected abundant semigroups which are
disjoint unions of quasi-ideal adequate transversals. After obtaining some characterizations …

Pretzel monoids

D Heath, M Kambites, N Szakács - arXiv preprint arXiv:2405.00589, 2024 - arxiv.org
We introduce an interesting class of left adequate monoids which we call pretzel monoids.
These, on the one hand, are monoids of birooted graphs with respect to a naturalglue-and …

Rpp semigroups, its generalizations and special subclasses

KP Shum - Advances in algebra and combinatorics, 2008 - World Scientific
Advances in Algebra and Combinatorics : RPP SEMIGROUPS, ITS GENERALIZATIONS AND
SPECIAL SUBCLASSES Page 1 Advances in Algebra and Combinatorics edited by KP Shum et …

Abundant semigroups with a medial idempotent

J Fengjie - Semigroup forum, 1995 - Springer
Abstract In paper [2], Blyth and McFadden described a method for constructing all regular
semigroups with a normal medial idempotent from idempotent-generated regular …