Generators and relations for the semigroups of increasing functions on N and Z
The semigroups of all increasing functions over N and Z are considered. It is shown that both these semigroups do not admit an irreducible system of generators. In their subsemigroups of cofinite functions all irreducible systems of generators are described. The last semigroups are presented in t...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
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| Дата: | 2005 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2005
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/157335 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Generators and relations for the semigroups of increasing functions on N and Z / V. Doroshenko // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 4. — С. 1–15. — Бібліогр.: 6 назв. — англ. |
Репозитарії
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nasplib_isofts_kiev_ua-123456789-157335 |
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Doroshenko, V. 2019-06-20T02:30:57Z 2019-06-20T02:30:57Z 2005 Generators and relations for the semigroups of increasing functions on N and Z / V. Doroshenko // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 4. — С. 1–15. — Бібліогр.: 6 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 20M05, 20M20. https://nasplib.isofts.kiev.ua/handle/123456789/157335 The semigroups of all increasing functions over N and Z are considered. It is shown that both these semigroups do not admit an irreducible system of generators. In their subsemigroups of cofinite functions all irreducible systems of generators are described. The last semigroups are presented in terms of generators and relations. The author would like to thank the referee for comprehensive and useful comments and remarks. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Generators and relations for the semigroups of increasing functions on N and Z Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Generators and relations for the semigroups of increasing functions on N and Z |
| spellingShingle |
Generators and relations for the semigroups of increasing functions on N and Z Doroshenko, V. |
| title_short |
Generators and relations for the semigroups of increasing functions on N and Z |
| title_full |
Generators and relations for the semigroups of increasing functions on N and Z |
| title_fullStr |
Generators and relations for the semigroups of increasing functions on N and Z |
| title_full_unstemmed |
Generators and relations for the semigroups of increasing functions on N and Z |
| title_sort |
generators and relations for the semigroups of increasing functions on n and z |
| author |
Doroshenko, V. |
| author_facet |
Doroshenko, V. |
| publishDate |
2005 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
The semigroups of all increasing functions over N
and Z are considered. It is shown that both these semigroups do
not admit an irreducible system of generators. In their subsemigroups of cofinite functions all irreducible systems of generators are
described. The last semigroups are presented in terms of generators
and relations.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/157335 |
| citation_txt |
Generators and relations for the semigroups of increasing functions on N and Z / V. Doroshenko // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 4. — С. 1–15. — Бібліогр.: 6 назв. — англ. |
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AT doroshenkov generatorsandrelationsforthesemigroupsofincreasingfunctionsonnandz |
| first_indexed |
2025-12-07T19:42:49Z |
| last_indexed |
2025-12-07T19:42:49Z |
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1850879843015589888 |