The endomorphism semigroup of an endomapping of a finite set
Keywords:Endomorphism semigroup, Transformation semigroup, Full transformation semigroup, Direct product, Wreath product, Directed graph
The structure of the semigroup of all endomorphisms of an endomapping of a finite set has been determined. This has been done by naturally representing the endomapping by a directed graph, and determining the structure of the endomorphism semigroup of this graph.
GANIT J. Bangladesh Math. Soc. (ISSN 1606-3694) 31 (2011) 71-77
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