paper

Simplices in the Endomorphism Semiring of a Finite Chain

arXiv:1311.5548 · doi:10.1063/1.4854792

Abstract

We establish new results concerning endomorphisms of a finite chain if the cardinality of the image of such endomorphism is no more than some fixed number. The semiring of all such endomorphisms can be seen as a simplex whose vertices are the constant endomorphisms. We explore the properties of these simplices.

16 pages. arXiv admin note: substantial text overlap with arXiv:1304.7824