1. On derivations of prime and semi-prime Gamma rings
- Author
-
Bijan Davvaz, Leili Kamali Ardakani, and Shuliang Huang
- Subjects
Pure mathematics ,Ring (mathematics) ,Trace (linear algebra) ,Mathematics::Commutative Algebra ,Generalization ,lcsh:Mathematics ,Astrophysics::High Energy Astrophysical Phenomena ,Mathematics::Number Theory ,General Mathematics ,derivation ,lcsh:QA1-939 ,Prime (order theory) ,trace ,$\Gamma$-ring ,bi-$(\sigma , \tau )$ derivation ,Mathematics - Abstract
The concept of $\Gamma$-ring is a generalization of ring. Twoimportant classes of $\Gamma$-rings are prime and semi-prime$\Gamma$-rings. In this paper, we consider the concept of derivations on prime and semi-prime $\Gamma$-rings and we study some of their properties.
- Published
- 2017