Endomorphism semirings with zero of a finite semilattice of a special type

Abstract

We investigate endomorphism semirings of a finite semilattice with one least element and one greatest element such that all the other elements form an antichain. We construct some new finite simple semirings. Keywords: endomorphism semiring, additively idempotent semiring, simple semiring, idempotent endomorphism, finite semilattice.

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