Multiplicative bases, Grobner bases, and right Grobner bases

被引：36
|
作者：
Green, EL [1 ]
机构：
[1] Virginia Polytech Inst & State Univ, Blacksburg, VA 24061 USA
来源：
JOURNAL OF SYMBOLIC COMPUTATION | 2000年 / 29卷 / 4-5期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1006/jsco.1999.0324
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we study conditions on algebras with multiplicative bases so that there is a Grobner basis theory. We introduce right Grobner bases for a class of modules. We give an elimination theory and intersection theory for right submodules of projective modules in path algebras. Solutions to homogeneous systems of linear equations with coefficients in a quotient of a path algebra are studied via right Grobner basis theory. (C) 2000 Academic Press.
引用
收藏
页码：601 / 623
页数：23
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