On derivations of prime and semi-prime Gamma rings

Leili Kamali Ardakani; Bijan Davvaz; Shuliang Huang

doi:10.5269/bspm.v37i2.31658

On derivations of prime and semi-prime Gamma rings

Leili Kamali Ardakani Ardakan University Department of Engineering Sciences
Bijan Davvaz Yazd University Department of Mathematics
Shuliang Huang Chuzhou University Department of Mathematics

DOI: https://doi.org/10.5269/bspm.v37i2.31658

Keywords: $\Gamma$-ring, derivation, bi-$(\sigma, \tau )$ derivation, trace

Abstract

The concept of $\Gamma$-ring is a generalization of ring. Two
important 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.