Polynomial systems admitting a simultaneous solution

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-01-06 DOI:10.1016/j.jalgebra.2024.12.015

Austin Conner , Mateusz Michałek , Michael Schindler , Balázs Szendrői

引用次数: 0

Abstract

We provide a description of a complete set of generators for the ideal that serves as the resultant ideal for n univariate polynomials of degree d. Our generators arise as maximal minors of a set of cascading matrices formed from the coefficients of the polynomials, generalizing the classical Sylvester resultant of two polynomials.

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来源期刊

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.