Article in press
Authors:
Title:
On the varieties $\mathcal{V}_n$
PDFSource:
Discussiones Mathematicae - General Algebra and Applications
Received: 2023-06-16 , Revised: 2023-11-16 , Accepted: 2023-11-17 , Available online: 2024-09-11 , https://doi.org/10.7151/dmgaa.1464
Abstract:
Here we set forth the varieties $\mathcal{V}_n$ and their connection with the varieties $\mathcal{E}_n$ of epigroups. A new congruence, $akin$, which relates similar elements in a semigroup, is introduced and used to reduce epigroups keeping their subgroup structure. We devise a recipe to study the conditions for these processes.
Primary keywords:
semigroups, epigroups
Secondary keywords:
varieties, congruences
References:
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https://doi.org/10.1007/1-4020-3817-8\_12
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