The monoid of endomorphisms of disconnected hypergraphs
We prove that the monoid of endomorphisms of an arbitrary disconnected hypergraph is isomorphic to a wreath product of a transformation semigroup with a certain small category. For disconnected hypergraphs we also study the structure of the monoid of strong endomorphisms and the group of automorphis...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2013 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2013
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/152316 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The monoid of endomorphisms of disconnected hypergraphs / Yu.V. Zhuchok // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 134–150. — Бібліогр.: 22 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862691435798593536 |
|---|---|
| author | Zhuchok, Yu.V. |
| author_facet | Zhuchok, Yu.V. |
| citation_txt | The monoid of endomorphisms of disconnected hypergraphs / Yu.V. Zhuchok // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 134–150. — Бібліогр.: 22 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We prove that the monoid of endomorphisms of an arbitrary disconnected hypergraph is isomorphic to a wreath product of a transformation semigroup with a certain small category. For disconnected hypergraphs we also study the structure of the monoid of strong endomorphisms and the group of automorphisms.
|
| first_indexed | 2025-12-07T16:16:23Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152316 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:16:23Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Zhuchok, Yu.V. 2019-06-09T17:25:04Z 2019-06-09T17:25:04Z 2013 The monoid of endomorphisms of disconnected hypergraphs / Yu.V. Zhuchok // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 134–150. — Бібліогр.: 22 назв. — англ. 1726-3255 2010 MSC:08A05. https://nasplib.isofts.kiev.ua/handle/123456789/152316 We prove that the monoid of endomorphisms of an arbitrary disconnected hypergraph is isomorphic to a wreath product of a transformation semigroup with a certain small category. For disconnected hypergraphs we also study the structure of the monoid of strong endomorphisms and the group of automorphisms. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics The monoid of endomorphisms of disconnected hypergraphs Article published earlier |
| spellingShingle | The monoid of endomorphisms of disconnected hypergraphs Zhuchok, Yu.V. |
| title | The monoid of endomorphisms of disconnected hypergraphs |
| title_full | The monoid of endomorphisms of disconnected hypergraphs |
| title_fullStr | The monoid of endomorphisms of disconnected hypergraphs |
| title_full_unstemmed | The monoid of endomorphisms of disconnected hypergraphs |
| title_short | The monoid of endomorphisms of disconnected hypergraphs |
| title_sort | monoid of endomorphisms of disconnected hypergraphs |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152316 |
| work_keys_str_mv | AT zhuchokyuv themonoidofendomorphismsofdisconnectedhypergraphs AT zhuchokyuv monoidofendomorphismsofdisconnectedhypergraphs |