Lie Derivations of Incidence Algebras

2016/07/30 by Xian Zhang, Mykola Khrypchenko, Zhang, Xian +1 · 1 citation
Mathematics · #47L35 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Primary 16W25 #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #Secondary 16W10

paper · pdf · doi:10.48550/arxiv.1608.00110

openalex publication_date 2016/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a locally finite preordered set, \mathcal R a commutative ring with identity and I(X,\mathcal R) the incidence algebra of X over \mathcal R. In this note we prove that each Lie derivation of I(X,\mathcal R) is proper, provided that \mathcal R is 2-torsion free.

Citations

• Lie derivations of certain CSL algebras
• Lie derivations of generalized matrix algebras
• The structure of Lie derivations on C∗-algebras

Cited by

• Jordan *-derivations of incidence algebras

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