The Source of $\Gamma$-Primeness on $\Gamma$-Rings

Abstract

The source of the primeness texture is a skeleton that generalizes traditional prime rings. In this context, our primary aim in this study is to describe the source of $\Gamma$-primeness in $\Gamma$-rings not included in the literature. This work's purpose is to generalize the concept of the source of primeness to a $\Gamma$-ring. In this study, the characteristics provided by the defined concept are also discussed, and the results achieved are exemplified.