This book introduces recently developed ideas and techniques in semigroup theory to
provide a handy reference guide previously unavailable in a single volume. The opening …

A partial order on a semigroup $(S,\cdot) $ is called natural if it is defined by means of the
multiplication of $ S $. It is shown that for any semigroup $(S,\cdot) $ the relation $ a\leq b …

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 …

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 …

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 …

Superabundant semigroups are generalizations of completely regular semigroups written
the class of abundant semigroups. It has been shown by Fountain that an abundant …

F-abundant semigroups Page 1 F-ABUNDANT SEMIGROUPS* XIAOJIANG GUO Department
of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi 330027, PR China and …

An adequate semigroup S is called ample if ea= a (ea)* and ae=(ae)† a for all a∈ S and e∈
E (S). Inverse semigroups are exactly those ample semigroups that are regular. After …

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 …

In this paper, the translational hull of a type B semigroup is considered. We prove that the
translational hull of a type B semigroup is itself a type B semigroup, and give some …