On Г-n- (Anti ) Generalized Strong Commutativity Preserving Maps for Semiprime Γ-Rings
semiprime Γ-ring
extended centroid
Г-N-anti-generalized strong commutativity preserving maps
In this study, we prove that let N be a fixed positive integer and R be a semiprime -ring with extended centroid . Suppose that additive maps such that is onto, satisfy one of the following conditions belong to Г-N- generalized strong commutativity preserving for short; (Γ-N-GSCP) on R belong to Г-N-anti-generalized strong commutativity preserving for short; (Γ-N-AGSCP) Then there exists an element and additive maps such that is of the form and when condition (i) is satisfied, and when condition (ii) is satisfied
