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Commuting maps on certain incidence algebras

2019/02/09 by Hongyu Jia, Zhankui Xiao, Jia, Hongyu +1 · 1 citation
Mathematics · #47L35 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA) #Primary 16W25 #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #Secondary 15A78

paper · pdf · doi:10.48550/arxiv.1902.03396

openalex publication_date 2019/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let R be a 2-torsion free commutative ring with unity, X a locally finite pre-ordered set and I(X,R) the incidence algebra of X over R. If X consists of a finite number of connected components, in this paper we give a sufficient and necessary condition for each commuting map on I(X,R) being proper.

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