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 semig...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2005 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2005
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/157335 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862734358674145280 |
|---|---|
| author | Doroshenko, V. |
| author_facet | Doroshenko, V. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T19:42:49Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157335 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:42:49Z |
| publishDate | 2005 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Generators and relations for the semigroups of increasing functions on N and Z Doroshenko, V. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157335 |
| work_keys_str_mv | AT doroshenkov generatorsandrelationsforthesemigroupsofincreasingfunctionsonnandz |