Year: 2025
Type: article
Abstract: We characterize all additive biderivations on the incidence algebra I(P,R) of a locally finite poset P over a commutative ring with unity R. By decomposing P into its connected chains, we prove that any additive biderivation splits uniquely into a sum of inner biderivations and extremal ones determined by chain components. In particular, when every maximal chain of P is infinite, all additive biderivations are inner.
Source: Mathematics
DOI: 10.3390/math13193122
Authors: Zhipeng Guan, Chi Zhang
Institution: Northeastern University
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
Award: G2008316347
OpenAlex ID: W4414670934