The monoid of endomorphisms of disconnected hypergraphs

Yuriy V. Zhuchok

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

Full Text:

PDF

Refbacks

  • There are currently no refbacks.