DERIVATIONS COCENTRALIZING POLYNOMIALS
نویسندگان
چکیده
منابع مشابه
Primitive derivations, Shi arrangements and Bernoulli polynomials
LetW be a finite irreducible real reflection group, which is a Coxeter group. A primitive derivation D, introduced and studied by K. Saito (e.g., [4]), plays a crucial role in the theory of differential forms with logarithmic poles along the Coxeter arrangement. For example, we may describe the contact order filtration of the logarithmic derivation module using the primitive derivations ([10, 1...
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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: 1998
ISSN: 1027-5487
DOI: 10.11650/twjm/1500407017