Left restriction semigroups are a class of semigroups which generalise inverse semigroups
and which emerge very naturally from the study of partial transformations of a set.  …

As a generalization of quasi-inverse semigroups in the class of regular semigroups, we
consider the Q⁎-inverse semigroups which are idempotent-connected abundant …

We call a quasi-adequate semi-group whose set of idempotents forms a left [right] quasi-
normal band a left [right] semi-perfect abundant semi-group. After obtaining some …

The direct product of a cancellative monoid and a rectangular band is called a can-cellative
plank. In this paper, we describe the semigroups which can be expressed as a strong …

A semigroup S with a sub-band B is called a good B-quasi-Ehresmann semigroup if it is a B-
semiabundant semigroup satisfying the congruence condition such that aB (a*) B (b+) b+⊆ …

The so-called split IC quasi-adequate semigroups are in the class of idempotent-connected
quasi-adequate semigroups. It is proved that an IC quasi-adequate semigroup is split if and …

The objective consists of two parts; one part is to investigate the structure of a right quasi-
adequate semigroup S containing a normal medial idempotent which is a left identity …

A semigroup is called type-E if the band of its idempotents can be expressed as a direct
product of a rectangular band and an ω-chain. For brevity, we call an IC*-bisimple quasi …

In this paper, we investigate a class of factorisable IC quasi-adequate semigroups, so-
called, factorisable IC quasi-adequate semigroups of type-(H, I). Some characterizations of …

In this paper we establish a construction of a class of left E-adequate semigroups by using
semilattices of cancellative monoids and fundamental left E-adequate semigroups. We first …