Computations in the ring of quaternionic polynomials

被引：7

作者：

Damiano, Alberto ^{[1
]}

Gentili, Graziano ^{[2
]}

Struppa, Daniele ^{[1
]}

机构：

[1] Chapman Univ, Dept Math & Comp Sci, Schmid Coll Sci, Orange, CA 92866 USA

[2] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 2010年 / 45卷 / 01期

关键词：

Quaternionic polynomials; Bezout theorem; Grobner bases; Noncommutative syzygies; REGULAR FUNCTIONS; ZEROS;

D O I：

10.1016/j.jsc.2009.06.003

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we study basic division properties in the ring of regular quaternionic polynomials. We obtain a Bezout-like theorem and we calculate the module syzygy for any vector of polynomials. (c) 2009 Elsevier Ltd. All rights reserved.

引用

页码：38 / 45

页数：8

共 18 条

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