2020
DOI: 10.1142/s0219498821500821
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f-Biderivations and Jordan biderivations of unital algebras with idempotents

Abstract: The notion of f -derivations was introduced by Beidar and Fong to unify several kinds of linear maps including derivations, Lie derivations and Jordan derivations. In this paper we introduce the notion of f -biderivations as a natural "biderivation" counterpart of the notion of "f -derivations". We first show, under some conditions, that any f -biderivation is a Jordan biderivation. Then, we turn to study f -biderivations of a unital algebra with an idempotent. Our second main result shows, under some conditio… Show more

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