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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2010 |
| ISSN: | 1726-3255 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154505 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862729637713412096 |
|---|---|
| author | Davis, T.C. |
| author_facet | Davis, T.C. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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
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| first_indexed | 2025-12-07T19:15:31Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154505 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:15:31Z |
| publishDate | 2010 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Length functions for semigroup embeddings Davis, T.C. |
| title | 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_short | Length functions for semigroup embeddings |
| title_sort | length functions for semigroup embeddings |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154505 |
| work_keys_str_mv | AT davistc lengthfunctionsforsemigroupembeddings |