The monoid of endomorphisms of disconnected hypergraphs

被引:0
|
作者
Zhuchok, Yuriy V. [1 ]
机构
[1] Luhansk Taras Sheychenko Natl Univ, Dept Math Anal & Algebra, Oboronna Str 2, UA-91011 Lugansk, Ukraine
来源
ALGEBRA & DISCRETE MATHEMATICS | 2013年 / 16卷 / 01期
关键词
monoid of endomorphisms; monoid of strong endomorphisms; group of automorphisms; hypergraph; wreath product;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove that the monoid of endtorphisms of an arbitrary disconnected hypergraph is isomorphic to a Wreath product of a transformation sentigroup with a certain small category. For disconnected hypergraphs we also study the structure of the monoid of strong endomorphisms and the group of automorphisms.
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收藏
页码:134 / 150
页数:17
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