Quantic格中的理想和理想余闭包算子  

The ideals and ideal coclosure operators of Quantic lattices

作　　者：周欣[1] 赵彬[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《陕西师范大学学报（自然科学版）》2012年第1期1-5,共5页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11171196;10871121)

摘　　要：引入了Quantic格上的理想和理想余闭包算子的概念,研究了理想和理想余闭包算子的若干性质,讨论了Quantic格同态与理想之间的关系.证明了在Quantic格中,一个子集是理想当且仅当它是某个理想余闭包算子的像.The concepts of ideal and ideal coclosure operator on a quantic lattice are given.Some properties of them are studied,and the relationship between quantic lattice homomorphisms and ideals is discussed.It is proved that in a quantic lattice,a subset is an ideal if and only if it is the image of an ideal coclosure operator.

关 键 词：Quantic格 理想 Quantic格同态 理想余闭包算子 

分 类 号：O153.1[理学—数学]