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arXiv · 2508.01949

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

Nasir Sohail·Aftab Hussain Shah·Kristo Väljako
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Abstract

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.

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Nasir Sohail, Aftab Hussain Shah, Kristo Väljako. 2025-08-03. Embedding ample semigroups as (2,1,1)-subalgebras of inverse semigroups. https://arxiv.org/abs/2508.01949

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