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

共 50 条

[41] Locally Nilpotent Derivations of Graded Integral Domains and Cylindricity
Chitayat, Michael
Daigle, Daniel
[J]. TRANSFORMATION GROUPS, 2024, 29 (02) : 591 - 620
[42] UFDs with commuting linearly independent locally nilpotent derivations
El Kahoui, M
[J]. JOURNAL OF ALGEBRA, 2005, 289 (02) : 446 - 452
[43] Locally nilpotent derivations of rings graded by an abelian group
Daigle, Daniel
Freudenburg, Gene
Moser-Jauslin, Lucy
[J]. ALGEBRAIC VARIETIES AND AUTOMORPHISM GROUPS, 2017, 75 : 29 - 48
[44] Locally nilpotent derivations on the surface xy = p(z)
Makar-Limanov, L
[J]. PROCEEDINGS OF THE THIRD INTERNATIONAL ALGEBRA CONFERENCE, 2003, : 215 - 219
[45] Locally nilpotent derivations on affine surfaces with a C*-action
Flenner, H
Zaidenberg, M
[J]. OSAKA JOURNAL OF MATHEMATICS, 2005, 42 (04) : 931 - 974
[46] THE FREENESS PROPERTY FOR LOCALLY NILPOTENT DERIVATIONS OF R[2]
Ben Khaddah, A.
El Kahoui, M.
Ouali, M.
[J]. TRANSFORMATION GROUPS, 2023, 28 (01) : 35 - 60
[47] Homogeneous Locally Nilpotent Derivations of Nonfactorial Trinomial Algebras
Zaitseva, Yu. I.
[J]. MATHEMATICAL NOTES, 2019, 105 (5-6) : 818 - 830
[48] Locally Nilpotent Derivations of Free Algebra of Rank Two
Drensky, Vesselin
Makar-Limanov, Leonid
[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2019, 15
[49] LOCALLY FINITE AND LOCALLY NILPOTENT DERIVATIONS WITH APPLICATIONS TO POLYNOMIAL FLOWS AND POLYNOMIAL MORPHISMS
VANDENESSEN, A
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 116 (03) : 861 - 871
[50] Locally nilpotent derivations and automorphism groups of certain Danielewski surfaces
Bianchi, Angelo Calil
Veloso, Marcelo Oliveira
[J]. JOURNAL OF ALGEBRA, 2017, 469 : 96 - 108

← 1 2 3 4 5 →