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多值状态属性系统与闭包空间(英文)
Many-valued state property systems and closure spaces
【摘要】 本文把状态属性系统的概念推广到了多值情形,探讨了状态属性系统与闭包空间之间的关系;证明了对一个有单位元的quantale L,在L中取值的状态属性系统的范畴与在L中取值的闭包空间范畴等价.
【Abstract】 In this paper the definition of state property system is extended to the many-valued setting. The relationship between state property systems and closure spaces is discussed.It is shown that,for a unital quantale L,the category of state property systems valued in L is equivalent to the category of closure spaces valued in L.
【关键词】 quantale;
L-完备格;
L-状态属性系统;
L-闭包空间;
【Key words】 quantale; complete L-lattice; L-state property system; L-closure space;
【Key words】 quantale; complete L-lattice; L-state property system; L-closure space;
【基金】 国家自然科学基金(11071174)
- 【文献出处】 四川大学学报(自然科学版) ,Journal of Sichuan University(Natural Science Edition) , 编辑部邮箱 ,2012年04期
- 【分类号】O159
- 【被引频次】1
- 【下载频次】26