An Ehresmann-Schein-Nambooripad type theorem for DRC-semigroups

S Wang - Semigroup Forum, 2022 - Springer
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 …

[HTML][HTML] A groupoid approach to regular⁎-semigroups

J East, PAA Muhammed - Advances in Mathematics, 2024 - Elsevier
In this paper we develop a new groupoid-based structure theory for the class of regular⁎-
semigroups. This class occupies something of a 'sweet spot'between the important classes …

Trace-and pseudo-products: restriction-like semigroups with a band of projections

DG FitzGerald, MK Kinyon - Semigroup Forum, 2021 - Springer
We ascertain conditions and structures on categories and semigroups which admit the
construction of pseudo-products and trace products respectively, making their connection as …

Categorical representation of DRC-semigroups

J East, M Fresacher, PA Muhammed… - arXiv preprint arXiv …, 2024 - arxiv.org
DRC-semigroups model associative systems with domain and range operations, and
contain many important classes, such as inverse, restriction, Ehresmann, regular $* $-, and …

On d-semigroups, r-semigroups, dr-semigroups and their subclasses

S Wang - Semigroup Forum, 2023 - Springer
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 …

How to generalise demonic composition

T Stokes - Semigroup Forum, 2021 - Springer
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 …

Generalized Munn Representations of DRC-Semigroups.

PR Jones - Southeast Asian Bulletin of Mathematics, 2021 - search.ebscohost.com
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 …

Cross-connection structure of concordant semigroups

PA Azeef Muhammed, PG Romeo… - International Journal of …, 2020 - World Scientific
Cross-connection theory provides the construction of a semigroup from its ideal structure
using small categories. A concordant semigroup is an idempotent-connected abundant …

A Munn type representation for DRC-restriction semigroups

S Wang - Periodica Mathematica Hungarica, 2024 - Springer
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 …

Constellations with range and IS-categories

V Gould, T Stokes - Journal of Pure and Applied Algebra, 2022 - Elsevier
Constellations are asymmetric generalisations of categories. Although they are not required
to possess a notion of range, many natural examples do. These include commonly occurring …