Abstract

Let A be a prime ring whose symmetric Martindale quotient ring contains a nontrivial idempotent. Generalized skew derivations of A are characterized by acting on zero products. Precisely, if g,δ: A → A are additive maps such that σ(x)g(y) + δ(x)y = 0 for all x,y in A with xy = 0, where σ is an automorphism of A, then both g and δ are characterized as specific generalized σ-derivations on a nonzero ideal of A.

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