Jordan <i>k</i>-derivations of certain Nobuswa gamma rings

Authors

  • Sujoy Chakraborty Department of Mathematics Shahjalal University of Science and Technology, Sylhet
  • Akhil Chandra Paul Department of Mathematic Rajshahi University, Rajshahi

DOI:

https://doi.org/10.3329/ganit.v31i0.10308

Abstract

From the very definition, it follows that every Jordan k-derivation of a gamma ring M is, in general, not a k-derivation of M. In this article, we establish its generalization by considering M as a 2-torsion free semiprime ?N-ring (Nobusawa gamma ring). We also show that every Jordan k-derivation of a 2-torsion free completely semiprime ?N-ring is a k-derivation of the same.

DOI: http://dx.doi.org/10.3329/ganit.v31i0.10308

GANIT J. Bangladesh Math. Soc. (ISSN 1606-3694) 31 (2011) 53-64

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Published

2012-04-09

How to Cite

Chakraborty, S., & Paul, A. C. (2012). Jordan <i>k</i>-derivations of certain Nobuswa gamma rings. GANIT: Journal of Bangladesh Mathematical Society, 31, 53–64. https://doi.org/10.3329/ganit.v31i0.10308

Issue

Vol. 31 (2011)

Section

Articles

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The copyright of GANIT: Journal of Bangladesh Mathematical Society is reserved by Bangladesh Mathematical Society (web: https://bdmathsociety.org/)