Length functions for semigroup embeddings

Following the work done in [O] for groups, we describe, for a given semigroup \(S\), which functions \(l : S \to \mathbb{N} \) can be realized up to equivalence as length functions \(g\mapsto |g|_H\) by embedding S into a finitely generated semigroup \(H\). We also, following the work done in [O2] a...

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Bibliographic Details
Date:2018
Main Author: Davis, Tara Colleen
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/618
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics