Involutive bases of ideals in the ring of polynomials

被引：2

作者：

Astrelin, AV ^{[1
]}

Golubitsky, OD ^{[1
]}

Pankratiev, EV ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Math & Mech, Moscow 119899, Russia

来源：

PROGRAMMING AND COMPUTER SOFTWARE | 2000年 / 26卷 / 01期

关键词：

Normal Form; Canonical Form; Polynomial Ideal; Critical Pair; Minimal Parameter;

D O I：

10.1007/BF02759177

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This paper continues the study of the relationship between Grobner bases and involutive bases of polynomial ideals started in [1, 5]. Involutive bases are considered as Grobner bases with some fixed normal form algorithms. It is shown that once the search order of critical pairs is coordinated, the same S-elements and their reductions appear in the same order in the process of the construction of Grobner bases and involutive bases.

引用

页码：31 / 35

页数：5

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