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Algebra and Discrete Mathematics, 2013, Volume 16, Issue 1, Pages 134–150 (Mi adm442)  
This article is cited in 3 scientific papers (total in 3 papers)

RESEARCH ARTICLE

The monoid of endomorphisms of disconnected hypergraphs

Yuriy V. Zhuchok

Department of Mathematical Analysis and Algebra, Luhansk Taras Shevchenko National University, Oboronna str., 2, 91011 Luhansk, Ukraine
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Abstract: 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.
Keywords: monoid of endomorphisms, monoid of strong endomorphisms, group of automorphisms, hypergraph, wreath product.
Received: 13.02.2012
Revised: 30.03.2013
Bibliographic databases:
Document Type: Article
MSC: 08A05
Language: English
Citation: Yuriy V. Zhuchok, “The monoid of endomorphisms of disconnected hypergraphs”, Algebra Discrete Math., 16:1 (2013), 134–150
Citation in format AMSBIB
\Bibitem{Zhu13}
\by Yuriy~V.~Zhuchok
\paper The monoid of endomorphisms of disconnected hypergraphs
\jour Algebra Discrete Math.
\yr 2013
\vol 16
\issue 1
\pages 134--150
\mathnet{http://mi.mathnet.ru/adm442}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3184706}
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    • This publication is cited in the following 3 articles:
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