Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2011; 26(3): 445-454

Printed September 1, 2011

https://doi.org/10.4134/CKMS.2011.26.3.445

Copyright © The Korean Mathematical Society.

Some commutativity theorems of prime rings with generalized $(\sigma,\tau)$-derivation

\"{O}znur G\"{o}lba\c{s}\i and Emine Ko\c{c}

Cumhuriyet University, Cumhuriyet University

Abstract

In this paper, we extend some well known results concerning generalized derivations of prime rings to a generalized $(\sigma,\tau)$-derivation.

Keywords: prime rings, derivations, generalized derivations, generalized $(\sigma ,\tau)$-derivations, centralizing mappings

MSC numbers: 16W25, 16N60, 16U80