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 …

In the last fifteen years many papers have been devoted to the theme of describing regular
semigroups with inverse transversals. It is interesting that the concept of inverse transversal …

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 …

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 …

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 …

The concept of quasi-adequate transversals is introduced. Some properties and
characterizations for abundant semigroups with a multiplicative quasi-adequate transversal …

In this paper, another relationship between the quasi-ideal adequate transversals of an
abundant semigroup is given. We introduce the concept of a weakly multiplicative adequate …

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 …

An inverse transversal of a regular semigroup S is an inverse subsemigroup that contains
precisely one inverse of each element of S. This concept was first introduced by Blyth and …

Advances in Algebra and Combinatorics : RPP SEMIGROUPS, ITS GENERALIZATIONS AND
SPECIAL SUBCLASSES Page 1 Advances in Algebra and Combinatorics edited by KP Shum et …