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

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
Jul 17, 2019
How to Cite
HAMIL, Shahed Ali; MAJEED, Abdulrahman H.. On Commutativity of Prime and Semiprime - Rings with Reverse Derivations. Iraqi Journal of Science, [S.l.], p. 1546-1550, july 2019. ISSN 2312-1637. Available at: <http://scbaghdad.edu.iq/eijs/index.php/eijs/article/view/927>. Date accessed: 22 aug. 2019.
Section
Mathematics