On Commutativity of Prime and Semiprime - Rings with Reverse Derivations

  • Shahed Ali Hamil Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
  • Abdulrahman H. Majeed Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Keywords: Gamma ring, γ-prime gamma ring, γ-semiprime gamma ring, γ-Lie ideal, k- reverse derivation, generalized k- reverse derivation

Abstract

Let M be a weak Nobusawa -ring and γ be a non-zero element of Γ. In this paper, we introduce concept of k-reverse derivation, Jordan k-reverse derivation, generalized k-reverse derivation, and Jordan generalized k-reverse derivation of Γ-ring, and γ-homomorphism, anti-γ-homomorphism of M. Also, we give some commutattivity conditions on γ-prime Γ-ring and γ-semiprime Γ-ring .

Published
2019-07-17
How to Cite
Hamil, S. A., & Majeed, A. H. (2019). On Commutativity of Prime and Semiprime - Rings with Reverse Derivations. Iraqi Journal of Science, 60(7), 1546-1550. https://doi.org/10.24996/ijs.2019.60.7.15
Section
Mathematics