Two Torsion Free Prime Gamma Rings With Jordan Left Derivations

Authors

  • A. K. Halder Department of Mathematics University of Rajshahi Rajshahi-6205, Bangladesh.
  • A. C. Paul Department of Mathematics University of Rajshahi Rajshahi-6205, Bangladesh.

Keywords:

n-torsion free, Jordan left derivations, prime Γ-rings, faithful ΓM-modules, commutativity

Abstract

Let M be a 2-torsion free prime Γ-ring and X a nonzero faithful and prime ΓM-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.

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Published

2014-06-30

Issue

Vol. 46 No. 1 (2014)

Section

Articles

License

Copyright (c) 2014 A. K. Halder, A. C. Paul

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Two Torsion Free Prime Gamma Rings With Jordan Left Derivations. (2014). Punjab University Journal of Mathematics, 46(1), 58-64. https://pujm.pu.edu.pk/index.php/pujm/article/view/24