| 关于模格维数的注记 |
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| 引用本文： | 刘通.关于模格维数的注记[J].中国海洋大学学报(自然科学版),1995(2). |
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| 作者姓名： | 刘通 |
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| 摘 要： | 揭示了模格的一个重要性质。推广了《群论》（Ｔｈｅｔｈｅｏｒｙｏｆｇｒｏｕｐｓ,Ｍ．Ｈａｌｌ）中模格维数定理。并对“近世代数”（吴品三）、“抽象代数”（徐诚浩）中有关模格维数几个定理证明的遗漏,作了某些补证。
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| 关 键 词： | 模格 极大链 维数 有序集 |
NOTES ON THE DIMENSION OF THE MODULAR LATTICE |
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| Liu Tong.NOTES ON THE DIMENSION OF THE MODULAR LATTICE[J].Periodical of Ocean University of China,1995(2). |
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| Authors: | Liu Tong |
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| Institution: | Applied Mathematics Department |
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| Abstract: | In this paper a property of the modular lattice is revealed and the generalizdation of some theorems about the modular lattice (in The Theory of Groups, M. Hall) is presented. The paper also gives some corrections to several theorems and their proofs about the dimension of the modular lattice ih the books" Modern Algebra" by Wu and "Abstract Algebra" by Xu. |
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| Keywords: | Modular lattice dimension ordered set maximal chain |
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