GROBNER BASES AND PRIMARY DECOMPOSITION OF MODULES

被引：8
|
作者：
RUTMAN, EW [1 ]
机构：
[1] UNIV MARYLAND,COLL PK,MD 20742
来源：
JOURNAL OF SYMBOLIC COMPUTATION | 1992年 / 14卷 / 05期
关键词：
D O I：
10.1016/0747-7171(92)90019-Z
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper I present definitions and algorithms for Gröbner bases for submodules of free modules over polynomial rings in n variables over Noetherian commutative rings with certain algorithmic properties. I then give an algorithm for computing the primary decomposition of submodules of submodules of these free modules when the base ring is also a PID, a show that under certain dimension conditions the requirement of a PID may be dropped. © 1992.
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收藏
页码：483 / 503
页数：21
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