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

2013/01/13 by Ivan Trendafilov, Trendafilov, Ivan
Computer Science · Mathematics · #06A12 #2010: 16Y60 #20M10 #Coding theory and cryptography #Cryptography and Residue Arithmetic #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:06A12 #msc:16Y60 #msc:20M10 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1301.2776

arxiv created 2013/01/13 · openalex publication_date 2013/01/13 · arxiv updated 2013/01/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Related

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• Finite simple additively idempotent semirings
• The finite basis problem for endomorphism semirings of finite chains
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• Geometrical Structures of the Endomorphism Semiring of a Finite Chain: Simplices, Strings and Triangles