Affiliation:
1. School of Mathematics and Big Data, AnHui university of science & technology, Huainan, P.R. China
Abstract
In this paper, we focus on the structure of Lie higher derivations on
triangular algebras T without assuming unity. We prove that Lie higher
derivation on every triangular algebra can be decomposed into a sum of a
higher derivation, an extreme Lie higher derivation, and a central mapping
vanishing on commutators [x, y]. As by-products, we use it on some typical
algebras: upper triangular matrix algebras over faithful algebras and
semiprime algebras, respectively.
Publisher
National Library of Serbia
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