Lie Biderivations on Triangular Algebras

2020/02/28 by Liang, Xinfeng, Ren, Dandan, Wei, Feng
#15A78 #16W25 #47L35 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2002.12498

Abstract

Let T be a triangular algebra over a commutative ring R and φ: T × T\longrightarrow T be an arbitrary Lie biderivation of T. We will address the question of describing the form of φ in the current work. It is shown that under certain mild assumptions, φ is the sum of an inner biderivation and an extremal biderivation and a some central bilinear mapping. Our results is immediately applied to block upper triangular algebras and Hilbert space nest algebras .

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