Strong Gröbner bases and linear algebra in multivariate polynomial rings over Euclidean domains

IF 0.8 4区数学 Q2 MATHEMATICS Expositiones Mathematicae Pub Date : 2024-10-30 DOI:10.1016/j.exmath.2024.125627

Erhard Aichinger

引用次数: 0

Abstract

We provide a self-contained introduction to Gröbner bases of submodules of

R {[x_{1}, \dots, x_{n}]}^{k}

, where

R

is a Euclidean domain, and explain how to use these bases to solve linear systems over

R [x_{1}, \dots, x_{n}]

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欧几里得域上多变量多项式环中的强格罗布纳基和线性代数

我们对 R[x1,...,xn]k 的子模的格洛布纳基（其中 R 是欧几里得域）进行了完整的介绍，并解释了如何使用这些基来求解 R[x1,...,xn] 上的线性系统。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Expositiones Mathematicae 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

40 days

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