关于R[x1，…，xn]的高R阶导数的核

IF 0.3 Q4 MATHEMATICS, APPLIED

Algebra & Discrete Mathematics Pub Date : 2021-01-01 DOI:10.12958/adm1236

S. Kour

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引用次数: 0

摘要

设R是一个积分域，且A=R [x1，…]，xn]为多项式环内变量。本文研究了A的高R阶导数D的核，证明了如果R是HCF环，且tr. degR (AD)≥1，则对于某f∈A, AD=R[f]。

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On the kernels of higher R-derivations of R[x1,…,xn]

Let R be an integral domain and A=R [x1, . . . ,xn] be the polynomial ring innvariables. In this article, we studythe kernel of higher R-derivation D of A. It is shown that if R isa HCF ring and tr. degR (AD)⩽1 then AD=R[f] for some f ∈ A.

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来源期刊

Algebra & Discrete Mathematics MATHEMATICS, APPLIED-

CiteScore

0.50

自引率

0.00%

发文量