Generalized skew derivations with nilpotent values on left ideals of rings and Banach algebras

Cheng Kai Liu; Hung Yuan Chen; Pao Kuei Liau

doi:10.1080/03081087.2013.780604

Generalized skew derivations with nilpotent values on left ideals of rings and Banach algebras

Cheng Kai Liu, Hung Yuan Chen, Pao Kuei Liau

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

Applying the extended Jacobson density theorem for rings with automorphisms and skew derivations, we characterize a generalized skew derivation of rings or Banach algebras so that the values of on a left ideal are nilpotent. The analogous results for -algebras and standard operator algebras on Banach spaces are also described.

Original language	English
Pages (from-to)	453-465
Number of pages	13
Journal	Linear and Multilinear Algebra
Volume	62
Issue number	4
DOIs	https://doi.org/10.1080/03081087.2013.780604
Publication status	Published - 2014 Apr 1

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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abstract = "Applying the extended Jacobson density theorem for rings with automorphisms and skew derivations, we characterize a generalized skew derivation of rings or Banach algebras so that the values of on a left ideal are nilpotent. The analogous results for -algebras and standard operator algebras on Banach spaces are also described.",

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