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...
Збережено в:
| Дата: | 2013 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2013
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-152316 |
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dspace |
| spelling |
irk-123456789-1523162019-06-10T01:26:07Z The monoid of endomorphisms of disconnected hypergraphs Zhuchok, Yu.V. 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. 2013 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/152316 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 |
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. |
| format |
Article |
| author |
Zhuchok, Yu.V. |
| spellingShingle |
Zhuchok, Yu.V. The monoid of endomorphisms of disconnected hypergraphs Algebra and Discrete Mathematics |
| author_facet |
Zhuchok, Yu.V. |
| author_sort |
Zhuchok, Yu.V. |
| title |
The monoid of endomorphisms of disconnected hypergraphs |
| title_short |
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_sort |
monoid of endomorphisms of disconnected hypergraphs |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152316 |
| 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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT zhuchokyuv themonoidofendomorphismsofdisconnectedhypergraphs AT zhuchokyuv monoidofendomorphismsofdisconnectedhypergraphs |
| first_indexed |
2023-05-20T17:38:02Z |
| last_indexed |
2023-05-20T17:38:02Z |
| _version_ |
1796153737730850816 |