(U. M)-derivations in completely semiprime ?-rings

Authors

  • MM Rahman Department of Mathematics, Jagannath University, Dhaka
  • AC Paul 2Department of Mathematics, University of Rajshahi, Rajshahi

DOI:

https://doi.org/10.3329/bjsir.v51i1.27076

Keywords:

Admissible Lie ideal, (U, M) -derivation, ?-ring, completely semiprime ?-ring

Abstract

The objective of this paper is to extend and generalize some results of (Rahman and Paul, 2014) in completely semiprime ?- rings. We prove that, if is an admissible Lie ideal of a completely semiprime ?-ring and d is a (U, M) -derivation of then d(u?v)=d(u)?v+u?d(v) for all u, v ? U and ? ? ?

Mathematics Subject Classification: 13N15, 16W10, 17C50

Bangladesh J. Sci. Ind. Res. 51(1). 69-74, 2016

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Published

2016-03-28

How to Cite

Rahman, M., & Paul, A. (2016). (U. M)-derivations in completely semiprime ?-rings. Bangladesh Journal of Scientific and Industrial Research, 51(1), 69–74. https://doi.org/10.3329/bjsir.v51i1.27076

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