作 者: ;
机构地区: 五邑大学数学与计算科学学院数学系
出 处: 《模糊系统与数学》 2007年第6期57-62,共6页
摘 要: 利用强半开L-集和它们的不等式在L-拓扑空间引入了一种新的SR-紧性,这里L是完备的DeMorgan代数。这种新的SR-紧性不依赖于格L的具体结构。当L是完全分配的DeMorgan代数时,给出了它的许多刻画。 By means of strongly semi-open L-sets and their inequality, a new form of SR-compactness is introduced in L-topological spaces, where L is a complete De Morgan algebra. This new form does not depend on the structure of basis lattice L and L does not require any distributivity. When L is a completely distributive De Morgan algebra, its many characterizations are presented.