| Prime Submodules and Flat Modules |
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| 引用本文： | A. AZIZI. Prime Submodules and Flat Modules[J]. 数学学报(英文版), 2007, 23(1): 147-152. DOI: 10.1007/s10114-005-0813-0 |
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| 作者姓名： | A. AZIZI |
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| 作者单位： | Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, IRAN |
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| 摘 要： |
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| 关 键 词： | 绝对平坦模块 广义首要理想原理 最初子模 秩模块 |
| 收稿时间： | 2005-02-18 |
| 修稿时间： | 2005-02-182005-06-15 |
Prime Submodules and Flat Modules |
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| A. Azizi. Prime Submodules and Flat Modules[J]. Acta Mathematica Sinica(English Series), 2007, 23(1): 147-152. DOI: 10.1007/s10114-005-0813-0 |
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| Authors: | A. Azizi |
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| Affiliation: | (1) Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, IRAN |
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| Abstract: | In this paper, some characterizations of prime submodules in flat modules and, particularly, in free modules are given. Furthermore, the height of prime submodules and some saturated chain of prime submodules are also given. |
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| Keywords: | flat and absolutely flat modules generalized principal ideal theorem prime submodules rank of modules |
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