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Title: Jordan Left Derivations of Two Torsion Free ГM – Modules
Authors: Paul, A C
Halder, Amitabh Kumer
Keywords: n-torsionfree
Jordan left derivations
left ГM-modules
prime Г-rings
semiprime Г-rings
Issue Date: 2009
Publisher: Vidyasagar University , Midnapore , West-Bengal , India
Series/Report no.: Journal of Physical Science;Vol 13 [2009]
Abstract: Let M be a Г-ring and X be a 2-torsionfree left ГM-module. The purpose of this paper is to investigate Jordan left derivations on M considering aαbβc=aβbαc, for every a,b,c∈M and α,β∈Г . We show that the existence of a nonzero Jordan left derivation of M into X implies M is commutative. We also show that if X = M is a semiprime Г-ring, then the derivation is a mapping from M into its centre. Finally we show that if M is a prime Г- ring, then every Jordan left derivation d: M→ M is a left derivation.
Description: 13-19
ISSN: 0972-8791 (Print)
Appears in Collections:Journal of Physical Sciences Vol.13 [2009]

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