Field Extensions and Extensions of Linear Differential Operators

被引：0
|
作者：
Michael M. Vinogradov
机构：
[1] Diffiety Institute,
[2] Institute of Economic Forecasting,undefined
来源：
Acta Applicandae Mathematica | 1997年 / 49卷
关键词：
differential operator; jets; field extensions; prolongations of derivations; extensions of linear differential operators;
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中图分类号：
学科分类号：
摘要：
Let K ⊂ R ⊂ P be a tower of fields, N be a P-module, and Δ: R → N be a K-linear differential operator. The aim of this paper is to investigate whether the operator Δ has an extension to P, i.e. if these exists a differential operator Δ′: P → N such that Δ′|R = Δ. The results of this paper were published in Russian in Mat. Zametki 30(2) (1981), 237–248.
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页码：271 / 280
页数：9
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