摘要
提出了对偶quantale的概念 ,研究了对偶quantale的性质及其构造 .利用quantale上的nucleus与余nucleus算子 ,给出了任一quantale的对偶quantale商的完全构造及quantale上的开模态词的特别构造 .研究表明 ,对偶quantale是非可换quantale中的布尔代数 .
The notion of dual quantale is introduced,the properties and constructions of dual quantales are studied. Using the notions of quantale nucleus operator and quantale co nucleus operator, the complete constructions of dual quantale quotients and some special open modalities for any given quantale are given. It is indicated that dual quantales are just noncommutative Boolean algebra in the field of noncommutative quantales.
出处
《陕西师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2001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 ( 1990 10 2 8)
