DERIVATIONS AND CENTRALIZING MAPPINGS IN 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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Let $R$ be a noncommutative prime ring of characteristic different from $2$, $U$ the Utumi quotient ring of $R$, $C$ $(=Z(U))$ the extended centroid of $R$. Let $0neq ain R$ and $f(x_1,ldots,x_n)$ a multilinear polynomial over $C$ which is noncentral valued on $R$. Suppose that $G$ and $H$ are two nonzero generalized derivations of $R$ such that $a(H(f(x))f(x)-f(x)G(f(x)))in ...
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let $r$ be a noncommutative prime ring of characteristic different from $2$, $u$ the utumi quotient ring of $r$, $c$ $(=z(u))$ the extended centroid of $r$. let $0neq ain r$ and $f(x_1,ldots,x_n)$ a multilinear polynomial over $c$ which is noncentral valued on $r$. suppose that $g$ and $h$ are two nonzero generalized derivations of $r$ such that $a(h(f(x))f(x)-f(x)g(f(x)))in ...
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 1997
ISSN: 1027-5487
DOI: 10.11650/twjm/1500405693