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预余Quantale态射及其性质
引用本文:赵晔,康筱峰.预余Quantale态射及其性质[J].韩山师范学院学报,2009,30(3):13-16,61.
作者姓名:赵晔  康筱峰
作者单位:西安上业大学数理系,陕西西安,710032
基金项目:陕西省教育厅专项基金项目 
摘    要:给出了预余Quantale态射的概念,证明了预余Quantale中的特殊元在预余Quantale态射的左伴随下不变的性质,找到了预余Quantale中态射与蕴含运算的关系,得到了预余Quantale上的一个开映射是预余Quantale态射的充要条件.

关 键 词:完备格  预余Quantale  预余Quantale态射  左伴随  开映射

Precoquantale Morphism and Its Properties
ZHAO Ye,KANG Xiao-feng.Precoquantale Morphism and Its Properties[J].Journal of Hanshan Teachers College,2009,30(3):13-16,61.
Authors:ZHAO Ye  KANG Xiao-feng
Institution:College of Mathematics and Physics Science;Xi'an University of Technology;Xi'an 710032;China
Abstract:This paper first defines a precoquantale morphism and then proves the properties of these special elements don't change on the left adjoint of a morphism.Meanwhile,the paper finds out the relationship between precoquantale morphism"&"the operation of a precoquantale and obtains that an opened map of precoquantales is a necessary"&"sufficient condition for a precoquantale morphism.
Keywords:complete lattice  precoquantale  precoquantale morphism  left adjoint  opened map  
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