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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2013 |
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| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152316 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-152316 |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The monoid of endomorphisms of disconnected hypergraphs |
| spellingShingle |
The monoid of endomorphisms of disconnected hypergraphs Zhuchok, Yu.V. |
| 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 |
| author |
Zhuchok, Yu.V. |
| author_facet |
Zhuchok, Yu.V. |
| publishDate |
2013 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT zhuchokyuv themonoidofendomorphismsofdisconnectedhypergraphs AT zhuchokyuv monoidofendomorphismsofdisconnectedhypergraphs |
| first_indexed |
2025-12-07T16:16:23Z |
| last_indexed |
2025-12-07T16:16:23Z |
| _version_ |
1850866855731789824 |