arXiv subjects

Aftab Hussain Shah

Publications and source records attributed to Aftab Hussain Shah.

2 recordsLinked to original sources

arXiv2026

Embedding ample semigroups as (2,1,1)-subalgebras of inverse semigroups

The problem of embedding an ample semigroup in an inverse semigroup as a (2, 1, 1)-type subalgebra is known to be undecidable. In this article, we investigate the problem for certain classes of ample semigroups. We also give examples of semigroups that are left (respectively, right) but not right (respectively, left) ample.

math.GR↗

arXiv2025

Epimorphisms and pseudovarieties

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.

math.GR↗