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INTERSECTION OF PRIME SUBMODULES AND

时间:2021-12-11 09:58:38 数理化学论文 我要投稿

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