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arXiv · 2305.11535

Semilattices of Stratified Semigroups

James Renshaw·William Warhurst
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Abstract

In 1995 Grillet introduced the concept of a stratified semigroup as a kind of generalisation of finite nilsemigroups. We extend these ideas here by allowing a more general Base and describe them in terms of extensions of semigroups by stratified semigroups. We consider semillatices of certain types of group-bound semigroups and also semillatices of Clifford semigroups and show how to describe them as semilattices of these stratified extensions and provide a number of interesting examples.

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James Renshaw, William Warhurst. 2023-05-19. Semilattices of Stratified Semigroups. https://arxiv.org/abs/2305.11535

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