| 偏序范畴若干问题研究 |
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| 引用本文： | 刘春华,;周振强.偏序范畴若干问题研究[J].漳州师院学报,2008(4):28-32. |
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| 作者姓名： | 刘春华 ;周振强 |
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| 作者单位： | [1]福建师范大学数计学院,福建福州350007; [2]仙游师范学校,福建仙游351200 |
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| 摘 要： | 本文介绍了关系及关系矩阵等概念，并着重讨论了偏序关系及对应的偏序范畴、偏序矩阵，刻划了偏序范畴的始对象、终对象和零对象，偏序范畴的积范畴以及给出相应的矩阵的关系，即积范畴对应的偏序矩阵是原来两个偏序矩阵的张量积；讨论了等价的偏序范畴对应的偏序集之间的关系．
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| 关 键 词： | 偏序范畴 偏序矩阵 张量积 |
Some Researches of Poset Category |
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| Institution: | LIU Chun-hua, ZHOU Zhen-qiang(1. School of Mathematic and Computer Science, Fujian Normal University, Fuzhou, Fujian 350007, China; 2. Xianyou Normal School, Xianyou, Fujian 351200, China) |
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| Abstract: | This paper introduces some concepts, such as the concept of the relation, relation matrix, etc. It focuses on the discussions of the poset, the corresponding poset category and poset matrix and describes the initial object, terminal object and zero object, the product category of poset categories. Then it gives the relationship of the corresponding poset matrix, i.e. the poser matrix of the product categories identifies with the tensor product of two original poset matrixes and discusses the relations of the corresponding posets of two equivalent poset categories. |
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| Keywords: | poset category poset matrix tensor product |
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