Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2008; 45(2): 253-261

Printed June 1, 2008

Copyright © The Korean Mathematical Society.

On generalized Jordan left derivations in rings

Mohammad Ashraf and Shakir Ali

Aligarh Muslim University

Abstract

In this paper, we introduce the notion of generalized left derivation on a ring $R$ and prove that every generalized Jordan left derivation on a 2-torsion free prime ring is a generalized left derivation on $R$. Some related results are also obtained.

Keywords: prime rings, generalized left derivation, generalized Jordan left derivation

MSC numbers: 16W25, 16N60, 16U80