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Quantale上的双侧核映射
引用本文:韩胜伟,潘芳芳.Quantale上的双侧核映射[J].模糊系统与数学,2010,24(5).
作者姓名:韩胜伟  潘芳芳
作者单位:1. 陕西师范大学,数学与信息科学学院,陕西,西安,710062
2. 西安邮电学院,数理系,陕西,西安,710121
基金项目:国家自然科学基金资助项目,陕西师范大学博士基金资助项目 
摘    要:引入Quantale上双侧核映射的概念,研究双侧核映射的若干性质,证明一个核映射是局部核映射当且仅当它是双侧的、幂等的.

关 键 词:完备格  Quantale商  双侧核映射  局部核映射

The Two-sided Nuclei on Quantales
HAN Sheng-wei,PAN Fang-fang.The Two-sided Nuclei on Quantales[J].Fuzzy Systems and Mathematics,2010,24(5).
Authors:HAN Sheng-wei  PAN Fang-fang
Institution:HAN Sheng-wei1,PAN Fang-fang2(1.College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,China,2.School of Science,Xi'an University of Post & Telecommunications,Xi'an 710121,China)
Abstract:In this paper,the concept of a two-sided quantic nucleus of a quantale is introduced,some properties of the two-sided quantic nucleus are studied,and it is proved that a quantic nucleus is localic if and only if it is two-sided and idempotent.
Keywords:Quantale
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