Quantale模核映射与余核映射的关系  

The Relationship between Nuclei and Conuclei on Quantale Modules

作　　者：陈晓婷[1] 赵彬[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《模糊系统与数学》2013年第6期65-72,共8页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11171196;10871121)

摘　　要：研究左Q-模余核映射的相关性质,给出左Q-模上一个映射是余核映射的等式刻画;讨论Dual双模,Girard双模与对合左Q-模的关系,并分别给出它们的等价刻画;证明任意双Q-模都可嵌入到Girard双模,并且Girard双模上的核映射与余核映射是一一对应关系。In this paper, some properties of conuclei characterization for a map to be a conucleus is given. on left Q-module are investigated and the equality The relatioaships between Dual bimodule, Girard bimodule and left involutive Q-module are discussed and their equivalent characterizations are given respectively, It is proved that every bimodule can be embedding into a Girard bimodule, and nuclei and conuclei on Girard bimodule are in one-to-one correspondence.

关 键 词：QUANTALE 左Q-模 核映射 余核映射 

分 类 号：O153[理学—数学]