Length functions for semigroup embeddings
Following the work done in [O] for groups, we describe, for a given semigroup S, which functions l:S→N can be realized up to equivalence as length functions g↦|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...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2010 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2010
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154505 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Length functions for semigroup embeddings / T.C. Davis// Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 1–15. — Бібліогр.: 6 назв. — англ. |
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Davis, T.C. 2019-06-15T16:13:56Z 2019-06-15T16:13:56Z 2010 Length functions for semigroup embeddings / T.C. Davis// Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 1–15. — Бібліогр.: 6 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:20M05, 20F65. https://nasplib.isofts.kiev.ua/handle/123456789/154505 Following the work done in [O] for groups, we describe, for a given semigroup S, which functions l:S→N can be realized up to equivalence as length functions g↦|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 en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Length functions for semigroup embeddings Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Length functions for semigroup embeddings |
| spellingShingle |
Length functions for semigroup embeddings Davis, T.C. |
| 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 |
| author |
Davis, T.C. |
| author_facet |
Davis, T.C. |
| publishDate |
2010 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
Following the work done in [O] for groups, we describe, for a given semigroup S, which functions l:S→N can be realized up to equivalence as length functions g↦|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
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/154505 |
| citation_txt |
Length functions for semigroup embeddings / T.C. Davis// Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 1–15. — Бібліогр.: 6 назв. — англ. |
| work_keys_str_mv |
AT davistc lengthfunctionsforsemigroupembeddings |
| first_indexed |
2025-12-07T19:15:31Z |
| last_indexed |
2025-12-07T19:15:31Z |
| _version_ |
1850878126200979456 |