Jordan *-derivations of incidence algebras

2025/07/18 by Yang, Liuqing
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2507.13751

Abstract

Let X be a locally finite partially ordered set (poset), K a field of characteristic not 2, and I(X,K) the incidence algebra over K. In this paper, we prove that every Jordan *-derivation of I(X,K) is an inner *-derivation and a transposed Jordan *-derivation. Moreover, we demonstrate the existence of Jordan *-derivations that are not *-derivations.

Citations

• Commuting maps on certain incidence algebras
• Lie Derivations of Incidence Algebras
• Jordan derivations of finitary incidence rings

Related

• Generalized Jordan derivations of Incidence Algebras
• Jordan Derivations of Incidence Algebras
• Skew derivations of incidence algebras
• Local Derivations of Finitary Incidence Algebras
• Incidence Coalgebras: Automorphisms and Derivations