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Xiao, Zhankui

Jordan derivations of incidence algebras. (English) Zbl 1328.16022

Rocky Mt. J. Math. 45, No. 4, 1357-1368 (2015).
Summary: Let \(\mathcal R\) be a commutative ring with identity and \(I(X,\mathcal R)\) the incidence algebra of a locally finite pre-ordered set \(X\). In this note, we characterize the derivations of \(I(X,\mathcal R)\) and prove that every Jordan derivation of \(I(X,\mathcal R)\) is a derivation, provided that \(\mathcal R\) is \(2\)-torsion free.

Cited in 1 Review
Cited in 17 Documents

MSC:

16W25 Derivations, actions of Lie algebras
16W10 Rings with involution; Lie, Jordan and other nonassociative structures
06A06 Partial orders, general

Keywords:

Jordan derivations; incidence algebras; locally finite pre-ordered sets
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\textit{Z. Xiao}, Rocky Mt. J. Math. 45, No. 4, 1357--1368 (2015; Zbl 1328.16022)
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