| Quantale代数核映射及其扩张 |
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| 引用本文： | 马娜娜,赵彬.Quantale代数核映射及其扩张[J].吉林大学学报(理学版),2016,54(1):21-26. |
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| 作者姓名： | 马娜娜 赵彬 |
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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 710062 |
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| 摘 要： | 应用Quantale和Quantale模理论引入Quantale代数核映射的概念, 给出Quantale代数核映射的若干性质, 并讨论Quantale代数核映射与Quantale代数同余之间的关系, 得到了Quantale代数核映射的扩张定理.
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| 关 键 词： | Quantale代数 Quantale代数核映射 同余 扩张定理 |
| 收稿时间： | 2015-04-02 |
Quantale Algebra Nucleus and Its Extension |
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| MA Nana,ZHAO Bin.Quantale Algebra Nucleus and Its Extension[J].Journal of Jilin University: Sci Ed,2016,54(1):21-26. |
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| Authors: | MA Nana ZHAO Bin |
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| Institution: | College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China |
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| Abstract: | Using the theories of Quantale and Quantale module, we introduced the concept of Quantale algebra nucleus. Then we studied some properties of Quantale algebra nucleus and dicussed the relationship between Quantale algebra nucleus and Quantale algebra congruence. Finally, we obtained the extension theorem of Quantale algebra nucleus. |
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| Keywords: | Quantale algebra Quantale algebra nucleus congruence extension theorem |
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