| INTERSECTION OF PRIME SUBMODULES AND DIMENSION OF MODULES |
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| 作者姓名： | A.Azizi |
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| 作者单位： | DepartmentofMathematics,CollegeofSciences,ShirazUniversity,Shiraz71454,Iran |
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| 摘 要： | 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.
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| 关 键 词： | 素数子模型 分子维度 有限交集 数学物理 |
| 收稿时间： | 29 August 2002 |
INTERSECTION OF PRIME SUBMODULES AND DIMENSION OF MODULES |
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| A.Azizi.INTERSECTION OF PRIME SUBMODULES AND DIMENSION OF MODULES[J].Acta Mathematica Scientia,2005,25(3):385-394. |
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| Authors: | A Azizi |
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| Affiliation: | 1. Faculty of Mathematics and Laboratory of Algebraic Geometry, National Research University Higher School of Economics, Moscow 117312, Russia;2. Sector of Algebra and Number Theory, Institute for Information Transmission Problems, Moscow 127994, Russia;1. Departament d''Àlgebra i Geometria, Facultat de Matemàtiques, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain;2. Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16146 Genova, Italy;1. Mathematics Department, American University of Beirut, Riad el Solh 11-0236, Beirut, Lebanon;2. Mathematics Department, University of South Carolina, Columbia, SC 29208, United States;1. LMIB & School of Mathematics and Systems Science, Beihang University, Beijing, 100191, PR China;2. Shenyuan Honors College, Beihang University, Beijing, 100191, PR China |
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| Abstract: | 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. |
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| Keywords: | Dimension of modules multiplication modules prime submodules rank of modules |
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