| 赋值模范畴Fm中的张量函子 |
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| 引用本文： | 陈方年. 赋值模范畴Fm中的张量函子[J]. 湖北大学学报(自然科学版), 1999, 21(3): 211-214 |
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| 作者姓名： | 陈方年 |
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| 作者单位： | [1]华中理工大学汉口分院基础课部 [2]湖北大学数学与计算机科学学院 |
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| 摘 要： | 引入了一类赋值模范畴Ｆｍ及赋值横模的张量积概念，并进一步找到张量函子在Ｆｍ中存在的条件，最后讨论了Ｈｏｍ模和张量模之间的关系，导出两个重要的弱赋值模同构。
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| 关 键 词： | 赋值模范畴 赋值线性映射 子模 张量函子 |
Tensor Functors in the Category F_m of Evaluated Modules |
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| Chen Fangnian Pan Fuzheng. Tensor Functors in the Category F_m of Evaluated Modules[J]. Journal of Hubei University(Natural Science Edition), 1999, 21(3): 211-214 |
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| Authors: | Chen Fangnian Pan Fuzheng |
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| Affiliation: | Chen Fangnian 1 Pan Fuzheng 2 |
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| Abstract: | Introduced the category F m of the evaluated modules and constructed Hom functors,introduced the concept of tensor products for evaluated modules and then find the condition for existence of the tensor functors.Finally discussed the relationship between Hom modules and tensor modules and induced two important weak isomorphisms of evaluated modules. |
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| Keywords: | Category of evaluated modules Evaluated linear maps Singular evaluated submodules Hom Hom functors Tensor product Tensor functors Weak isomorphisms of evaluated modules |
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