ALGORITHMS FOR PRIMARY DECOMPOSITION OF MODULES

被引：4

作者：

Idrees, Nazeran ^{[1
]}

机构：

[1] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore, Pakistan

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2011年 / 48卷 / 02期

关键词：

Primary modules; associated primes; pseudo primary; localization; extraction; POLYNOMIAL IDEALS; GROBNER BASES;

D O I：

10.1556/SScMath.48.2011.2.1167

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The algorithms of Shimoyama and Yokoyama for primary decomposition of ideals are generalized to submodules of a free module over the polynomial ring in several variables with coefficients in a field. The algorithms are implemented in SINGULAR.

引用

页码：227 / 246

页数：20

共 7 条

[1]

[Anonymous], 1995, COMMUTATIVE ALGEBRA, DOI DOI 10.1007/978-1-4612-5350-1

[2] DIRECT METHODS FOR PRIMARY DECOMPOSITION [J].

EISENBUD, D ;

HUNEKE, C ;

VASCONCELOS, W .

INVENTIONES MATHEMATICAE, 1992, 110 (02) :207-235

[3] GROBNER BASES AND PRIMARY DECOMPOSITION OF POLYNOMIAL IDEALS [J].

GIANNI, P ;

TRAGER, B ;

ZACHARIAS, G .

JOURNAL OF SYMBOLIC COMPUTATION, 1988, 6 (2-3) :149-167

[4]

Greuel G.-M., 2008, A Singular introduction to commutative algebra

[5]

Greuel G.-M., SINGULAR COMPUTER AL

[6] GROBNER BASES AND PRIMARY DECOMPOSITION OF MODULES [J].

RUTMAN, EW .

JOURNAL OF SYMBOLIC COMPUTATION, 1992, 14 (05) :483-503

[7] Localization and primary decomposition of polynomial ideals [J].

Shimoyama, T ;

Yokoyama, K .

JOURNAL OF SYMBOLIC COMPUTATION, 1996, 22 (03) :247-277

← 1 →