Work

On Group-like Properties of Left Groups

Year: 2025

Type: article

Abstract: A left group is a semigroup that is the direct product of a left zero semigroup and a group. In this paper, we investigate some group-like properties of left groups. In particular, we characterise monogenic left group monoids and prove some fundamental results on left group morphisms. We also characterise Green’s equivalences on left groups and, analogously to groups, establish a correspondence between congruences and normal sub-left groups. Finally, we characterise DSC left groups.

Source: Mathematics

DOI: 10.3390/math13193109

Authors: Aftab Hussain Shah, Bana Al Subaiei, Shariq Ali Attari, Dilawar Juneed Mir

Institutions: Central University of Kashmir, King Faisal University, Chandigarh University

Language: English

Topic: semigroups and automata theory

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funders: Strong, King Faisal University