| Quantale的最大左半可换商 |
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| 引用本文： | 董倩,汪开云.Quantale的最大左半可换商[J].吉林大学学报(理学版),2016,54(3):421-426. |
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| 作者姓名： | 董倩 汪开云 |
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| 作者单位： | 陕西师范大学 数学与信息科学学院, 西安 710119 |
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| 摘 要： | 通过引入Quantale上左半可换核映射的概念, 用Quantale中的左准对称元给出最大左半可换商的刻画, 证明了左半可换Quantale范畴是Quantale范畴的反射子范畴, 并讨论了局部核映射与左半可换核映射之间的关系.
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| 关 键 词： | Quantale Quantale商 左半可换核映射 局部核映射 |
| 收稿时间： | 2015-09-17 |
The Largest Left Semi commutative Quotient of a Quantale |
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| DONG Qian,WANG Kaiyun.The Largest Left Semi commutative Quotient of a Quantale[J].Journal of Jilin University: Sci Ed,2016,54(3):421-426. |
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| Authors: | DONG Qian WANG Kaiyun |
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| Institution: | School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China |
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| Abstract: | By introducing the concept of a left semi commutative nucleus on a Quantale, we gave a characterization of the largest left semi-commutative quotient of a Quantale by means of its left pre symmetric elements, proved that the category of left semi commutative Quantales are reflective subcategory of the category of Quantales, and discussed the relationships between localic nuclei and left semi commutative nuclei. |
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| Keywords: | Quantale quotient of Quantale left semi commutative nucleus localic nucleus |
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