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Jordan Generalized k-Derivations of Completely Prime ΓN-Rings

Corresponding Author : Sujoy Chakraborty (sujoy_chbty@yahoo.com)

Authors : Akhil Chandra Paul (acpaulrubd_math@yahoo.com)

Keywords : Jordan generalized k-derivation, completely semiprime, prime gamma rings

Abstract :

In the theory of gamma rings, it is evident that every generalized k-derivation of a Γ-ring M is a Jordan generalized k-derivation of M. Here we show, in particular, that its converse is also true if one chooses M as a 2-torsion free completely prime ΓN-ring.  

Published on June 30th, 2014 in Volume 21, Issue 1, Applied Sciences and Technology