数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (3): 385-394.

• 论文 •    下一篇

INTERSECTION OF PRIME SUBMODULES AND DIMENSION OF MODULES

A. Azizi   


  1. Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, Iran
  • 出版日期:2005-07-20 发布日期:2005-07-20

INTERSECTION OF PRIME SUBMODULES AND DIMENSION OF MODULES

A. Azizi   

  • Online:2005-07-20 Published:2005-07-20

摘要:

The aim of this paper is to study the conditions by which a P-prime sub-
module can be expressed as a ¯nite intersection or union of P-prime submodules. Also
corresponding to dimension and rank of modules, some equivalent conditions for a ring to
be a Dedekind domain are given.

Abstract:

The aim of this paper is to study the conditions by which a P-prime sub-
module can be expressed as a ¯nite intersection or union of P-prime submodules. Also
corresponding to dimension and rank of modules, some equivalent conditions for a ring to
be a Dedekind domain are given.

Key words: Dimension of modules;multiplication modules;prime submodules, rank of
modules

中图分类号: 

  • 13E05