N-strong commutativity preserving maps of Г-rings
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 t...
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| creator | Abdulridha, Ahmed A. Majeed, Abdulrahman H. |
| description | 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 all x ∈ R, a ∈ Г. |
| doi_str_mv | 10.1063/5.0171822 |
| format | Conference Proceeding |
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| subjects | Centroids Commutativity Set theory |
| title | N-strong commutativity preserving maps of Г-rings |
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