关于广义连续格的一个注记  

A Note on Generalized Continuous Lattices

作　　者：杨金波[1] 

机构地区：[1]江西师范大学数学系

出　　处：《江西师范大学学报（自然科学版）》1998年第2期135-137,共3页Journal of Jiangxi Normal University(Natural Science Edition)

摘　　要：该文给出了广义连续格的一个刻划定理，证明了广义连续格在保定向并的开核算子或保定向并的闭包算子下的象仍为广义连续格．In this paper,we give a characterized theorem of generalized continuous lattices and prove that the image of a generalized continuous lattice under a kernel operator preserving directed supremum or a closure operator preserving directed supremum is a generalized continuous lattice.

关 键 词：广义连续格 保定向并 开核算子 闭包算子 

分 类 号：O153.1[理学—数学]