| 模的两种映射及其对应的张量积 |
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| 引用本文： | 杨晓鹏.模的两种映射及其对应的张量积[J].内江师范学院学报,2009,24(8):31-34. |
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| 作者姓名： | 杨晓鹏 |
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| 作者单位： | 韩山师范学院数学与信息技术系,广东,潮州,521041 |
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| 摘 要： | 平衡映射和双线性映射是模论中两种重要映射，有相似的性质，它们的核都是子模．讨论了这两种映射的关系，并证明了当R是交换环时，它们所对应的张量积是同构的．
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| 关 键 词： | 平衡映射 双线性映射 张量积 |
Two Types of Tensor Products of a Module and Its Corresponding Product |
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| YANG Xiao-peng.Two Types of Tensor Products of a Module and Its Corresponding Product[J].Journal of Neijiang Teachers College,2009,24(8):31-34. |
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| Authors: | YANG Xiao-peng |
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| Institution: | College of Mathematics & Information Technology;Hanshan Normal University;Chaozhou;Guangdong 521041;China |
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| Abstract: | The balanced mapping and bilinear mapping are two important mappings with similar properties in module theory.Both of their kernels are submodules.The relations between these two mappings are disscussed and their tensor products are proven isomorphic when R is the commutative ring. |
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| Keywords: | Module balanced mapping bilinear mapping tensor product |
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