Subresultants and locally nilpotent derivations

被引：1

作者：

El Kahoui, M ^{[1
]}

机构：

[1] Cadi Ayyad Univ, Fac Sci Semlalia, Dept Math, Marrakech, Morocco

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2004年 / 380卷

关键词：

subresultant sequence; locally nilpotent derivation; Bezout identity;

D O I：

10.1016/j.laa.2003.11.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish a connection between subresultants and locally nilpotent derivations over commutative rings containing the rationals. As consequence of this connection, we prove that for any commutative ring with unit and any polynomials P and Q in A[y], the ith subresultant of P and Q is the determinant of a matrix, depending only on the degrees of P and Q, whose entries are taken from the list built with P, Q and their successive Hasse derivatives. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：253 / 261

页数：9

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