Epimorphisms and pseudovarieties
Group Theory
2025-04-21 v1
Abstract
For each of the following conditions, we characterize the pseudovarieties of semigroups V that satisfy it: (i) every epimorphism to a member of V is onto; (ii) every epimorphism to a finite semigroup with domain a member of V is onto; (iii) for every epimorphism from S to T with S in V and T finite, T is also a member of V.
Keywords
Cite
@article{arxiv.2504.13311,
title = {Epimorphisms and pseudovarieties},
author = {Jorge Almeida and Aftab Hussain Shah},
journal= {arXiv preprint arXiv:2504.13311},
year = {2025}
}