Mathematical Sciences and Applications E-Notes, cilt.12, sa.1, ss.36-42, 2024 (Hakemli Dergi)
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.