2024/12/23 by Chi Zhang, Guan, Zhipeng, Zhang, Chi
Computer Science · Mathematics · #15A78 #16S60 #Advanced Algebra and Logic #Advanced Topics in Algebra #FOS: Mathematics #Primiary 16W25 #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #Secondary 05B20
paper · pdf · doi:10.48550/arxiv.2412.18049
openalex publication_date 2024/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let R be a commutative ring with unity, and let P be a locally finite poset. The aim of the paper is to provide an explicit description of the additive biderivations of the incidence algebra I(P, R). We demonstrate that every additive biderivation is the sum of several inner biderivations and extremal biderivations. Furthermore, if the number of elements in any maximal chain in P is infinite, every additive biderivation of I(P,R) is the sum of several inner biderivations.