SOME APPLICATIONS OF THE MAXIMAL PRIMARY COMPONENTS OF SUBMODULES

被引：0

作者：

Morariu, Wanda ^{[1
]}

机构：

[1] Univ Politehn Bucuresti, Math Informat Dept, Bucharest, Romania

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2013年 / 75卷 / 04期

关键词：

Primary decomposition; EMBEDDED PRIMARY COMPONENTS; IDEALS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

W. Heinzer, L.J. Ratliff Jr. And K. Shah have found in [3] and [4] a close connection between ideal covers and the maximal embedded components of a non-open ideal in a local Noetherian ring. The aim of the paper is to obtain the analogous results concerning submodule covers for a submodule of a strong Laskerian module over a local ring (not necessarily Noetherian), which has a strongly primary component.

引用

页码：145 / 152

页数：8

共 7 条

[1] Bourbaki N., 1961, Algebre Commutative
[2] ON THE EMBEDDED PRIMARY COMPONENTS OF IDEALS .1.
HEINZER, W
RATLIFF, LJ
SHAH, K
[J]. JOURNAL OF ALGEBRA, 1994, 167 (03) : 724 - 744
[3] ON THE EMBEDDED PRIMARY COMPONENTS OF IDEALS .3.
HEINZER, W
RATLIFF, LJ
SHAH, K
[J]. JOURNAL OF ALGEBRA, 1995, 171 (01) : 272 - 293
[4] ON THE EMBEDDED PRIMARY COMPONENTS OF IDEALS .2.
HEINZER, W
RATLIFF, LJ
SHAH, K
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1995, 101 (02) : 139 - 156
[5] Morariu W., 1997, COMMUNICATIONS ALGEB, V25, P4009
[6] Radu N., 1981, LECTII ALGEBRA
[7] NOTES ON IDEAL COVERS AND ASSOCIATED PRIMES
RATLIFF, LJ
RUSH, DE
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1977, 73 (01) : 169 - 191

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