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383471

Generalized derivations with power values in rings and Banach algebras

Article

Last updated: 31 Dec 2024

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Abstract

Let R be a 2-torsion-free prime ring with center Z(R), F a generalized derivation associated
with a nonzero derivation d, L a Lie ideal of R. If ðdðuÞl1FðuÞl2dðuÞl3FðuÞl4 . . . FðuÞlk Þn ¼ 0 for all
u 2 L, where l1, l2, . . . , lk are fixed non-negative integers not all zero, and n is fixed positive integer,
then L ˝ Z(R). We also examine the case when R is a semiprime ring. Finally, we apply the above
result to Banach algebras.

DOI

10.1016/j.joems.2013.01.001

Keywords

Prime and semiprime ring, Generalized derivation, Lie ideal, Banach algebra

Authors

First Name

Shuliang

Last Name

Huang

MiddleName

-

Affiliation

Department of Mathematics, Chuzhou University, Chuzhou 239012, PR China

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Volume

21

Article Issue

2

Related Issue

50482

Issue Date

2013-08-01

Receive Date

2024-10-02

Publish Date

2013-08-01

Page Start

75

Page End

78

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_383471.html

Detail API

https://joems.journals.ekb.eg/service?article_code=383471

Order

383,471

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Generalized derivations with power values in rings and Banach algebras

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Type

Article

Created At

21 Dec 2024