Commutativity of Prime Gamma Rings with Left Centralizers

Authors

  • K. K. Dey University of Rajshahi
  • A. C. Paul Rajshahi University

DOI:

https://doi.org/10.3329/jsr.v6i1.14872

Keywords:

Prime ?-ring, Derivation, Generalized derivation, Left centralizer.

Abstract

Let M be a G-ring. If M satisfies the condition (*) xaybz = xbyaz for all x, y, zÎM, a, bÎG, then we investigate commutativity of prime G-rings satisfying certain identities involving left centralizer.

Keywords: Prime G-ring; Derivation; Generalized derivation; Left centralizer.

© 2014 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.

doi: http://dx.doi.org/10.3329/jsr.v6i1.14872 J. Sci. Res. 6 (1), 69-77 (2014)

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Author Biographies

K. K. Dey, University of Rajshahi

Professor

Department of Mathematics

 

A. C. Paul, Rajshahi University

Professor Department of Matheamtics

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Published

2013-12-26

How to Cite

Dey, K. K., & Paul, A. C. (2013). Commutativity of Prime Gamma Rings with Left Centralizers. Journal of Scientific Research, 6(1), 69–77. https://doi.org/10.3329/jsr.v6i1.14872

Issue

Section

Section A: Physical and Mathematical Sciences