Lie-type Derivations of Finitary Incidence Algebras
classification
🧮 math.RA
keywords
finitaryincidencelie-typealgebraalgebrasarbitraryassumptioncommutative
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Let $P$ be an arbitrary partially ordered set, $R$ a commutative ring with identity and $FI(P,R)$ the finitary incidence algebra of $P$ over $R$. Under some natural assumption on $R$, we prove that each Lie-type derivation of $FI(P,R)$ is proper.
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