The aim of this paper is to study DRC-semigroups by “categorial approach” and give an
Ehresmann–Schein–Nambooripad type theorem (ESN type theorem for short) for this class …

We ascertain conditions and structures on categories and semigroups which admit the
construction of pseudo-products and trace products respectively, making their connection as …

Motivated by the demonic compositions of binary relations, Stokes has introduced
demigroups (that is, d-semigroups in our terminology) and shown that many well known …

Demonic composition is defined on the set of binary relations over the non-empty set X,
Rel_X R el X, and is a variant of standard or “angelic” composition. It arises naturally in the …

The Munn representation of an inverse semigroup S provides an idempotent-separating
representation by order isomorphisms between principal ideals of the semi-lattice E< sub> S …

The class of P-Ehresmann semigroups has been proposed by Jones as a common
generalization of the classes of Ehresmann semigroups and regular∗-semigroups, and the …

Given a monoid S with E any non-empty subset of its idempotents, we present a novel one-
sided version of idempotent completion we call left E-completion. In general, the …

On a semigroup S, define the equivalence relation F={(a, b)∈ S× S∣∀ x∈ S: xa= x⇔ xb=
x}, and define G dually. We say S is F-abundant if there is an idempotent in every F-class …

We give an algebraic characterisation of ordered groupoids, namely, we show that there is a
categorical isomophism between the category of ordered groupoids and the category of $ D …

Motivated by interior operators and by analogous generalisations of closure operators to
semigroups in general, we define left, right and two-sided interior operations on a semigroup …