On centralizers of prime rings with involution

Authors

  • N. A. Dar Department of mathematics‎, ‎Aligarh Muslim University‎, ‎Aligarh-202002‎, ‎Aligarh‎, ‎India
  • S. Ali Department of mathematics‎, ‎Faculty of science & Arts-Rabigh‎, ‎King Abdulaziz University‎, ‎Jaddeh 21589‎, ‎Saudi Arabia‎
Abstract:

‎Let $R$ be a ring with involution $*$‎. ‎An additive mapping $T:Rto R$ is called a left(respectively right) centralizer if $T(xy)=T(x)y$ (respectively $T(xy)=xT(y)$) for all $x,yin R$‎. ‎The purpose of this paper is to examine the commutativity of prime rings with involution satisfying certain identities involving left centralizers.

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Journal title

volume 41  issue 6

pages  1465- 1475

publication date 2015-12-01

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