Toward involutive bases over effective rings

被引：3

作者：

Ceria, Michela ^{[1
]}

Mora, Teo ^{[2
]}

机构：

[1] Univ Milan, Dept Comp Sci, Via Celoria 18, I-20133 Milan, Italy

[2] Univ Genoa, Dept Math, Via Dodecaneso 35, Genoa, Italy

来源：

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2020年 / 31卷 / 5-6期

关键词：

Involutive divisions; Weak involutive bases; Local involutivity; GROBNER BASES; ALGEBRAS; IDEALS;

D O I：

10.1007/s00200-020-00448-6

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper we extend the theory of involutive divisions to the case of monomials with coefficients over effective rings. Moreover, as regards involutive bases, we study the computation of weak involutive bases and sketch a conjecture on strong involutive bases.

引用

页码：359 / 387

页数：29

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