Abstract
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.
Citation
Zhankui Xiao. "Jordan derivations of incidence algebras." Rocky Mountain J. Math. 45 (4) 1357 - 1368, 2015. https://doi.org/10.1216/RMJ-2015-45-4-1357
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