N-strong commutativity preserving maps of Г-rings.

Autor: Abdulridha, Ahmed A., Majeed, Abdulrahman H.
Předmět:
Zdroj: AIP Conference Proceedings; 2023, Vol. 2834 Issue 1, p1-8, 8p
Abstrakt: We introduce the notion of N-strong commutativity preserving Maps and N- anti- strong commutativity preserving Maps on a subset S of a Γ-ring R, in this paper, let N be a fixed positive integer we prove that if R is a semiprime Γ-ring with extended centroid CГ and additive map f from R onto R such that f either Γ- N- strong commutativity preserving Map or Γ-N-anti-strong commutativity preserving Map on R, then ⌈f(xn), x⌉a=0 for allx ∈ R, a ∈ Г. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index