Two torsion free prime gamma rings with jordan left derivations. | [Punjab University Journal of Mathematics • 2014]

Author(s):

1. A. K. Halder: Department of Mathematics University of Rajshahi Rajshahi, Bangladesh

2. A. C. Paul: Department of Mathematics University of Rajshahi Rajshahi, Bangladesh

Abstract:

Let M be a 2-torsion free prime ¡-ring and X a nonzero faithful and prime ¡M-module. Then the existence of a nonzero Jordan left derivation d : M ! X satisfying some appropriate conditions implies M is commutative. M is also commutative in the case that d : M ! M is a derivation along with some suitable assumptions.

Page(s): 1-8

DOI: DOI not available

Published: Journal: Punjab University Journal of Mathematics, Volume: 46, Issue: 1, Year: 2014

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