Centralizing Automorphisms of Prime Rings
نویسندگان
چکیده
منابع مشابه
Centralizing automorphisms and Jordan left derivations on σ-prime rings
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 close...
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ژورنال
عنوان ژورنال: Canadian Mathematical Bulletin
سال: 1976
ISSN: 0008-4395,1496-4287
DOI: 10.4153/cmb-1976-017-1