摘要
作为由Weng所引入的smooth格和Scott紧生成格的推广,引入了广义smooth格和广义smooth代数格,讨论了它们的一些基本性质,证明了完备格L是广义完全分配格当且仅当L是广义smooth格和广义连续格。
The concepts of generalized smooth lattices and generalized smooth algebraic lattices are introduced, which generalize respectively the concepts of smooth lattices and Scott-compactly generated lattices introduced by Weng. Some mapping properties of generalized smooth lattices and generalized smooth algebraic lattices are investigated. It is proved tha a complete latticeis generalized completely dirtributive if and only if it is both generalized smooth and generalized continuous.
出处
《模糊系统与数学》
CSCD
北大核心
2009年第1期92-96,共5页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(10331010
10861007)
高等学校全国优秀博士学位论文作者专项资金资助项目(2007B14)
江西省自然科学基金金资助项目(0411025
2007GZS0179)
江西师范大学博士基金资助项目
