一种由闭映射构成的Quantale  

The Quantale of Closed Maps

作　　者：马崛[1] 贺瑜飞[1] MA Jue;HEYu-fei(School of Mathematics and Statistics,Yulin University,Yulin 719000,China)

机构地区：[1]榆林学院,陕西榆林719000

出　　处：《模糊系统与数学》2022年第4期28-33,共6页Fuzzy Systems and Mathematics

基　　金：陕西省教育厅项目(21Jk1010);榆林市科技局项目(2019-89-3);榆林市教育科学规划项目(YLKT19205)。

摘　　要：本文首先在Quantale L的闭映射之间定义了一种新的二元运算,它与闭映射之间的复合运算有着紧密的关系。其次,我们证明了在L是单位弱*-稳定的完全分配格时,L上的所有闭映射带有新的二元运算在逐点序下是一个Quantale,并且(WQ(L,L),。)是它的一个商Quantale.In this paper,firstly,we define a new binary operation between the closed maps of quantale L,which is closely related to the composite operation between closed maps.Secondly,we prove that the set of all closed maps on L is a quantale with respect to the new binary operation and the pointwise order,when L is a unit weakly*-stable completely distributive lattice.Besides,(WQ(L,L),。)is a quotient quantale of the above quantale.

关 键 词：QUANTALE 复合 序半群 闭映射 

分 类 号：O153[理学—数学]