Generalized (U, M)-derivations of completely semiprime r-rings

Authors

  • Md Mizanor Rahman Department of Mathematics, Jagannath University, Dhaka-1100
  • Akhil Chandra Paul Department of Mathematics, University of Rajshahi, Rajshahi-6205

DOI:

https://doi.org/10.3329/jbas.v39i1.23665

Keywords:

Admissible Lie ideal, Generalized (U, M)-derivation, Completely semiprime r-ring

Abstract

In this paper, the authors extend and generalize some results of previous workers to completely semiprime G-rings. If U is an admissible Lie ideal of a completely semiprime G-ring M, d is a (U, M)-derivation of M and f is a generalized (U, M)-derivation of M then under some suitable conditions, workers prove that f(uav) = f(u) av + uad(v) holds for all u, v Î U and a Î G.

Journal of Bangladesh Academy of Sciences, Vol. 39, No. 1, 115-123, 2015

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Author Biography

Md Mizanor Rahman, Department of Mathematics, Jagannath University, Dhaka-1100



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Published

2015-06-14

How to Cite

Rahman, M. M., & Paul, A. C. (2015). Generalized (U, M)-derivations of completely semiprime r-rings. Journal of Bangladesh Academy of Sciences, 39(1), 115–123. https://doi.org/10.3329/jbas.v39i1.23665

Issue

Vol. 39 No. 1 (2015)

Section

Articles