Centralizing automorphisms and Jordan left derivations on σ-prime rings
نویسنده
چکیده
Let R be a 2-torsion free σ-prime ring. It is shown here that if U 6⊂ Z(R) is a σ-Lie ideal of R and a, b in R such that aUb = σ(a)Ub = 0, then either a = 0 or b = 0. This result is then applied to study the relationship between the structure of R and certain automorphisms on R. To end this paper, we describe additive maps d : R −→ R such that d(u) = 2ud(u) where u ∈ U, a nonzero σ-square closed Lie ideal of R. 2000 Mathematics Subject Classification: 16W10, 16W25, 16W20, 16U80.
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