The monoid of endomorphisms of disconnected hypergraphs

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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Bibliographic Details
Date:2018
Main Author: Zhuchok, Yuriy V.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
monoid of endomorphisms
monoid of strong endomorphisms
group of automorphisms
hypergraph
wreath product
08A05
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/763
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id admjournalluguniveduua-article-763
record_format ojs
spelling admjournalluguniveduua-article-7632018-04-26T01:26:05Z The monoid of endomorphisms of disconnected hypergraphs Zhuchok, Yuriy V. monoid of endomorphisms, monoid of strong endomorphisms, group of automorphisms, hypergraph, wreath product 08A05 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. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/763 Algebra and Discrete Mathematics; Vol 16, No 1 (2013) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/763/292 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-04-26T01:26:05Z
collection OJS
language English
topic monoid of endomorphisms
monoid of strong endomorphisms
group of automorphisms
hypergraph
wreath product
08A05
spellingShingle monoid of endomorphisms
monoid of strong endomorphisms
group of automorphisms
hypergraph
wreath product
08A05
Zhuchok, Yuriy V.
The monoid of endomorphisms of disconnected hypergraphs
topic_facet monoid of endomorphisms
monoid of strong endomorphisms
group of automorphisms
hypergraph
wreath product
08A05
format Article
author Zhuchok, Yuriy V.
author_facet Zhuchok, Yuriy V.
author_sort Zhuchok, Yuriy 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
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.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/763
work_keys_str_mv AT zhuchokyuriyv themonoidofendomorphismsofdisconnectedhypergraphs
AT zhuchokyuriyv monoidofendomorphismsofdisconnectedhypergraphs
first_indexed 2025-12-02T15:36:58Z
last_indexed 2025-12-02T15:36:58Z
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