The Commutativity of Prime Γ<sub>n</sub>-Rings with left and Right K-Derivations

Authors

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

DOI:

https://doi.org/10.3329/jbas.v33i1.2948

Keywords:

Left and right k-derivations, gamma ring, prime gamma ring, commutativity

Abstract

By introducing the notions of left k-derivation and right k-derivation of a gamma ring, we determine some significantly important results on the commutativity of prime ΓN-rings of characteristic not equal to 2 and 3 with left k-derivation and right k-derivation, and also with the composition of such two k-derivations.

Keywords: Left and right k-derivations, gamma ring, prime gamma ring, commutativity.

DOI: 10.3329/jbas.v33i1.2948

Journal of Bangladesh Academy of Sciences, Vol. 33, No. 1, 37-46, 2009

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How to Cite

Chakraborty, S., & Paul, A. C. (2009). The Commutativity of Prime Γ<sub>n</sub>-Rings with left and Right K-Derivations. Journal of Bangladesh Academy of Sciences, 33(1), 37–46. https://doi.org/10.3329/jbas.v33i1.2948

Issue

Vol. 33 No. 1 (2009)

Section

Articles