论文标题
f-biderivation and jordan bidervations timpotents的Unital代数
f-Biderivations and Jordan biderivations of unital algebras with idempotents
论文作者
论文摘要
Beidar和Fong引入了F源性的概念，以统一几种线性图，包括推导，谎言推导和Jordan衍生。在本文中，我们将f-biderivation的概念介绍为“ f衍生”概念的自然“ biderivation”。我们首先在某些条件下表明，任何F衍生物都是约旦的biderivation。然后，我们转向研究具有基于掌握的Unital代数的F-量。我们的第二个主要结果表明，在某些条件下，每一个约旦都可以写成屈服，抗体动力和极端biderivation的总和。结果，我们表明，每个约旦在三角形代数上的屈服都是biderivation。
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-derivation 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 conditions, that every Jordan biderivation can be written as a sum of a biderivation, an antibiderivation and an extremal biderivation. As a consequence we show that every Jordan biderivation on a triangular algebra is a biderivation.
