| 双模范畴间同构态射的构造 |
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| 引用本文： | 代瑞香,陈全国. 双模范畴间同构态射的构造[J]. 数学杂志, 2015, 35(4): 963-968 |
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| 作者姓名： | 代瑞香 陈全国 |
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| 作者单位： | 石河子大学理学院, 新疆 石河子 832003,伊犁师范学院数学系, 新疆 伊犁 835000 |
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| 基金项目： | 国家自然基金项目(11261063);石河子大学青年骨干教师培养计划资助(3152). |
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| 摘 要： | 本文研究了双模范畴上的同构态射.利用代数上常用的构造方法,给出了模范畴R(C:T)和L(C:T)的定义及双模范畴TMC和TMCM之间的同构映射和证明过程,将代数上双模范畴的一些重要结论进行了推广.
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| 关 键 词： | 模范畴 对象类 同构态射 |
| 收稿时间： | 2013-10-22 |
| 修稿时间： | 2014-04-28 |
THE CONSTRUCTION OF THE ISOMORPHISM BETWEEN THE BIMODULE CATEGORIES |
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| DAI Rui-xiang and CHEN Quan-guo. THE CONSTRUCTION OF THE ISOMORPHISM BETWEEN THE BIMODULE CATEGORIES[J]. Journal of Mathematics, 2015, 35(4): 963-968 |
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| Authors: | DAI Rui-xiang and CHEN Quan-guo |
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| Affiliation: | Department of Mathematics, Shihezi University, Shihezi 832003, China and Department of Mathematics, Yili Normal University, Yili 835000, China |
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| Abstract: | The isomorphism between bimodule categories TMC and TMCM is studied.The definitions of the modules categories R (C:T) and L (C:T) and the isomorphism between TMC and TMCM including detailed proofs are given,and some important conclusions of algebra bimodule categories are popularized. |
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| Keywords: | bimodule category objects class isomorphisms |
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