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.

引用

页码：483 / 503

页数：21

共 10 条

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[3] Hungerford T. W., 1974, GRADUATE TEXTS MATH, V73
[4] KUNTZ E, 1985, INTRO COMMUTATIVE AL
[5] IDEAL BASES AND PRIMARY DECOMPOSITION - CASE OF 2 VARIABLES
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[J]. JOURNAL OF SYMBOLIC COMPUTATION, 1985, 1 (03) : 261 - 270
[6] Matsumura Hideyuki, 1980, COMMUTATIVE ALGEBRA, V56
[7] ON THE CONSTRUCTION OF GROBNER BASES USING SYZYGIES
MOLLER, HM
[J]. JOURNAL OF SYMBOLIC COMPUTATION, 1988, 6 (2-3) : 345 - 359
[8] MOLLER HM, 1986, J ALGEBRA, V100, P133
[9] RUTMAN EW, 1992, THESIS U MARYLAND
[10] Zariski O., 1975, GRADUATE TEXTS MATH, V28

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