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 …
We ascertain conditions and structures on categories and semigroups which admit the construction of pseudo-products and trace products respectively, making their connection as …
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 …
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 …
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 theory provides the construction of a semigroup from its ideal structure using small categories. A concordant semigroup is an idempotent-connected abundant …
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 …
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 …