摘要
该文主要研究Q-值下集Quantale,它可以看作是下集Quantale的一般形式.首先证明了序半群范畴与超凝聚式Quantale范畴是等价的;其次证明了Q-值下集Quantale F_(Q)(S)本质上就是下集Quantale D(S)和Quantale Q的张量积.
The main work of this paper is to investigate Q-valued lower-set Quantales,which can be regarded as a generalization of lower-set Quantales.Firstly,it is proved that the category of ordered semigroups is equivalent to the category of supercoherent Quantales.Then,it is proved that Q-valued lower-set Quantales are essentially the tensor product of lower-set Quantales and Quantale Q.
作者
潘芳芳
覃锋
PAN Fangfang;QIN Feng(School of Science,Xi′an University of Posts and Telecommunications,Xi′an Shanxi 710121,China;School of Mathematics and Statistics,Jiangxi Normal University,Nanchang Jiangxi 330022,China)
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2024年第1期17-20,共4页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
国家自然科学基金(12371459,11971210,61967008)
江西省自然科学基金(20232ACB201002)资助项目.
