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σ-COMMUTING MAPPINGS IN SEMIPRIME RINGS

σ-COMMUTING MAPPINGS IN SEMIPRIME RINGS

Let R be a semiprime ring with extended centroid C, right Utumi quotient ring U and σ an endomorphism of R. A map ƒ : S → U, where S is a subset of R, is called σ-commuting if [ƒ(s), σ(s)] = 0 for all s ∈ S. In this …