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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| Date: | 2018 |
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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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admjournalluguniveduua-article-6182018-04-04T08:18:32Z Length functions for semigroup embeddings Davis, Tara Colleen Membership problem, Word problem, Embeddings of Semigroups, Length Function, Distortion 20M05, 20F65 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] and [OS], provide a complete description of length functions of a given finitely generated semigroup with enumerable set of relations inside a finitely presented semigroup. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/618 Algebra and Discrete Mathematics; Vol 9, No 1 (2010) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/618/154 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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| datestamp_date |
2018-04-04T08:18:32Z |
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OJS |
| language |
English |
| topic |
Membership problem Word problem Embeddings of Semigroups Length Function Distortion 20M05 20F65 |
| spellingShingle |
Membership problem Word problem Embeddings of Semigroups Length Function Distortion 20M05 20F65 Davis, Tara Colleen Length functions for semigroup embeddings |
| topic_facet |
Membership problem Word problem Embeddings of Semigroups Length Function Distortion 20M05 20F65 |
| format |
Article |
| author |
Davis, Tara Colleen |
| author_facet |
Davis, Tara Colleen |
| author_sort |
Davis, Tara Colleen |
| title |
Length functions for semigroup embeddings |
| title_short |
Length functions for semigroup embeddings |
| title_full |
Length functions for semigroup embeddings |
| title_fullStr |
Length functions for semigroup embeddings |
| title_full_unstemmed |
Length functions for semigroup embeddings |
| title_sort |
length functions for semigroup embeddings |
| description |
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] and [OS], provide a complete description of length functions of a given finitely generated semigroup with enumerable set of relations inside a finitely presented semigroup. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/618 |
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AT davistaracolleen lengthfunctionsforsemigroupembeddings |
| first_indexed |
2025-12-02T15:43:00Z |
| last_indexed |
2025-12-02T15:43:00Z |
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1850411770799194112 |