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

Cheng Kai Liu, Hung Yuan Chen, Pao Kuei Liau

Research output: Contribution to journalArticle

7 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 languageEnglish
Pages (from-to)453-465
Number of pages13
JournalLinear and Multilinear Algebra
Volume62
Issue number4
DOIs
Publication statusPublished - 2014 Apr 1

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Skew Derivation
Banach algebra
Standard Operator Algebra
Density Theorem
Ring
Automorphisms
Banach space
Algebra

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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Generalized skew derivations with nilpotent values on left ideals of rings and Banach algebras. / Liu, Cheng Kai; Chen, Hung Yuan; Liau, Pao Kuei.

In: Linear and Multilinear Algebra, Vol. 62, No. 4, 01.04.2014, p. 453-465.

Research output: Contribution to journalArticle

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