Centralizing and commuting generalized derivations on prime rings

Authors

  • Asif Ali Department of Mathematics, Quaid-i-Azam University, Islamabad-Pakistan Author
  • Tariq Shah Department of Mathematics, Quaid-i-Azam University, Islamabad-Pakistan Author

Keywords:

Prime rings, commuting and centralising maps, generalized derivations

Subjects:

16N60, 16S20

Abstract

Let $R$ be a prime ring and $d$ a derivation on $R$. If $f$ is a generalizedderivation on $R$ such that $f$ is centralising on a left ideal $U$ of $R$,then $R$ is commutative.

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Published

2008-01-15

Issue

Vol. 60 No. 1 (2008): Vol. 60, Issue 1

Section

Articles

License

Copyright (c) 2008 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.