Derivations on Lie ideals of completely semiprime ? -rings

Authors

  • MM Rahman Department of Mathematics, Jagannath University, Dhaka-1100
  • AC Paul Department of Mathematics, University of Rajshahi, Rajshahi-6205

DOI:

https://doi.org/10.3329/bjsr.v27i1.26224

Keywords:

Jordan derivation, admissible Lie ideal, completely semiprime ? -ring

Abstract

The aim of the paper is to prove the following theorem concerning a class of ? -rings. LetM be a 2-torsion free completely semiprime ? -ring satisfying the condition a?b?c = a?b?c, for all a,b,c?M and ? ,? ?? ; U be an admissible Lie ideal ofM . If d :M ?M is a Jordan derivation on U of M , then d is a derivation on U of M .

Bangladesh J. Sci. Res. 27(1): 51-61, June-2014

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Author Biography

MM Rahman, Department of Mathematics, Jagannath University, Dhaka-1100



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Published

2016-01-04

How to Cite

Rahman, M., & Paul, A. (2016). Derivations on Lie ideals of completely semiprime ? -rings. Bangladesh Journal of Scientific Research, 27(1), 51–61. https://doi.org/10.3329/bjsr.v27i1.26224

Issue

Vol. 27 No. 1 (2014)

Section

Articles