Additive maps on prime and semiprime rings with involution

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On centralizers of prime rings with involution

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on centralizers of prime rings with involution

‎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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ژورنال

عنوان ژورنال: Hacettepe Journal of Mathematics and Statistics

سال: 2019

ISSN: 2651-477X

DOI: 10.15672/hujms.661178