Resultants of skew polynomials over division rings

IF 1.1 4区数学 Q4 COMPUTER SCIENCE, THEORY & METHODS

Journal of Symbolic Computation Pub Date : 2025-07-23 DOI:10.1016/j.jsc.2025.102476

Alexis Eduardo Almendras Valdebenito , Jonathan Armando Briones Donoso , Andrea Luigi Tironi

引用次数: 0

Abstract

Let

F

be a division ring. We generalize some of the main well-known results about the resultant of two univariate polynomials to the more general context of an Ore extension

F [x; σ, δ]

. Moreover, some algorithms and Magma programs are given as a numerical application of the main theoretical results of this paper.

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除法环上偏多项式的结果

设F为除法环。我们将关于两个单变量多项式的结果的一些著名的主要结果推广到更一般的Ore扩展F[x；σ,δ]。此外，还给出了一些算法和Magma程序，作为本文主要理论结果的数值应用。

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

Journal of Symbolic Computation 工程技术-计算机：理论方法

CiteScore

2.10

自引率

14.30%

发文量

审稿时长

142 days

期刊介绍： An international journal, the Journal of Symbolic Computation, founded by Bruno Buchberger in 1985, is directed to mathematicians and computer scientists who have a particular interest in symbolic computation. The journal provides a forum for research in the algorithmic treatment of all types of symbolic objects: objects in formal languages (terms, formulas, programs); algebraic objects (elements in basic number domains, polynomials, residue classes, etc.); and geometrical objects. It is the explicit goal of the journal to promote the integration of symbolic computation by establishing one common avenue of communication for researchers working in the different subareas. It is also important that the algorithmic achievements of these areas should be made available to the human problem-solver in integrated software systems for symbolic computation. To help this integration, the journal publishes invited tutorial surveys as well as Applications Letters and System Descriptions.