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S-定向完备偏序集范畴
引用本文:李庆国,刘丽.S-定向完备偏序集范畴[J].模糊系统与数学,2011,25(1).
作者姓名:李庆国  刘丽
作者单位:湖南大学,数学与计量经济学院,湖南,长沙,410082
摘    要:给出定向完备偏序半群的定义,研究定向完备偏序半群在定向完备偏序集上的作用.探讨S-定向完备偏序集范畴的一些基本性质,并且证明以S-定向完备偏序集为对象,以S-Scott连续映射为态射的范畴是笛卡尔闭范畴.

关 键 词:定向完备偏序半群  S-定向完备偏序集  S-Scoft连续  笛卡尔闭

The Category of S-Dcpos
LI Qing-guo,LIU Li.The Category of S-Dcpos[J].Fuzzy Systems and Mathematics,2011,25(1).
Authors:LI Qing-guo  LIU Li
Institution:LI Qing-guo,LIU Li(College of Mathematics and Econometrics,Hunan University,Changsha 410082,China)
Abstract:In this paper,based on theories of S-posets,the definition of directed complete partially ordered monoid(or simply,a dcpomonoid) is introduced.According to this definition,we give the concept of S-dcpo when a dcpomonoid acts on a dcpo.Then we study some theoretical properties of Category of S-Dcpos and it is proved that this category is cartesian closed.
Keywords:Directed Complete Partially Ordered Monoid  S-dcpos  S-Scott Continuous  Cartesian Closed  
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