GRAPH ENDOMORPHISMS OF FINITE MONOUNARY ALGEBRAS

Karla Musilová

   In the present paper we look into the set of all graph endomorphisms of a finite monounary algebra. We show that sometimes we manage to determine the whole set of graph endomorphisms. Furthermore for an arbitrary positive integer n we find a finite monounary algebra with exactly n graph endomorphisms.

Keywords: graph (Shallon) algebra, monounary algebra, graph homomorphism, graph endomorphism, fixed point

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