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
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.
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页码:31 / 35
页数:5
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