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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Дата: | 2010 |
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Формат: | Стаття |
Мова: | English |
Опубліковано: |
Інститут прикладної математики і механіки НАН України
2010
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Назва видання: | Algebra and Discrete Mathematics |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/154505 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | 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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irk-123456789-1545052019-06-16T01:30:54Z Length functions for semigroup embeddings Davis, T.C. 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 2010 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/154505 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
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 |
format |
Article |
author |
Davis, T.C. |
spellingShingle |
Davis, T.C. Length functions for semigroup embeddings Algebra and Discrete Mathematics |
author_facet |
Davis, T.C. |
author_sort |
Davis, T.C. |
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 |
publisher |
Інститут прикладної математики і механіки НАН України |
publishDate |
2010 |
url |
http://dspace.nbuv.gov.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. |
series |
Algebra and Discrete Mathematics |
work_keys_str_mv |
AT davistc lengthfunctionsforsemigroupembeddings |
first_indexed |
2023-05-20T17:44:38Z |
last_indexed |
2023-05-20T17:44:38Z |
_version_ |
1796153987370582016 |