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Bull. Korean Math. Soc. 2006; 43(4): 711-713

Printed December 1, 2006

Copyright © The Korean Mathematical Society.

Strong commutativity preserving mappings on semiprime rings

Asif Ali, Muhammad Yasen, and Matloob Anwar

Quaid-i-Azam University, Quaid-i-Azam University, Quaid-i-Azam University

Abstract

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Let $R$ be a semiprime ring and $f$ be an endomorphism on $R$. If $f$ is a strong commutativity preserving (simply, scp) map on a non-zero ideal $U$ of $R$, then $f$ is commuting on $U$.

Keywords: prime and semiprime rings, commuting and scp maps

MSC numbers: 13A99

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