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 …

A generalised D-semigroup is here defined to be a left E-semiabundant semigroup S in
which the\mathcal R _E R¯ E-class of every x ∈ S x∈ S contains a unique element D (x) of …

We study the generalized right ample identity, introduced by the author in a previous paper.
Let S be a reduced E-Fountain semigroup which satisfies the congruence condition. We can …

In a result generalising the Ehresmann–Schein–Nambooripad Theorem relating inverse
semigroups to inductive groupoids, Lawson has shown that Ehresmann semigroups …

DRC-semigroups model associative systems with domain and range operations, and
contain many important classes, such as inverse, restriction, Ehresmann, regular $* $-, and …

We obtain an ESN theorem for a very general class of biunary semigroups with idempotent-
valued domain and range operations, representing them in terms of small categories …

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 …

In this paper we provide a theory of chain projection ordered categories and generalize that
of chain projection ordered groupoids developed by East and Azeef Muhammed recently. By …