INTERSECTION OF PRIME SUBMODULES AND DIMENSION OF MODULES
The aim of this paper is to study the conditions by which a P-prime submodule can be expressed as a finite 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.
作 者: A. Azizi 作者单位: Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, Iran 刊 名: 数学物理学报(英文版) ISTIC SCI 英文刊名: ACTA MATHEMATICA SCIENTIA 年,卷(期): 2005 25(3) 分类号: O41 关键词: Dimension of modules multiplication modules prime submodules rank of modules