Local Derivations of Finitary Incidence Algebras
classification
🧮 math.RA
keywords
derivationfinitaryincidencelocalpartiallyalgebraalgebrascommutative
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Let $P$ be a partially ordered set, $R$ a commutative ring with identity and $FI(P,R)$ the finitary incidence algebra of $P$ over $R$. In this note we prove that each $R$-linear local derivation of $FI(P,R)$ is a derivation, which partially generalizes a result by Nowicki and Nowosad.
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