Lie triple derivations of triangular algebras

来源 :第十一届泉州市科协年会暨福建省科协第十三届学术年会卫星会议 | 被引量 : 0次 | 上传用户:shizijiazuren
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  Let R be a commutative ring with identity, A, B be unital algebras over R and M be a unital (A, B)-bimodule, which is faithful as a left A-module and also as a right B-module.Let T =[A0 MB] be the triangular algebra consisting of A, B and M.This work is motivated by some intensiveworks of Bre(s)ar [4], Cheung [9] and Zhang et al.[30].Here, we study Lie triple derivations of Г.It is shown that under mild assumptions,every Lie triple derivation on Гis of standard form.That is, L can be expressed through an additive derivation and a linear functional vanishing on all second commutators of Г.Examples of Lie triple derivations on some classical triangular algebras are supplied.
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