Projectivity, continuity and adjointness: quantales, Q-posets and Q-modules

被引：0
|
作者：
Niefield, Susan [1 ]
机构：
[1] Union Coll, Dept Math, Schenectady, NY 12308 USA
来源：
THEORY AND APPLICATIONS OF CATEGORIES | 2016年 / 31卷
关键词：
projective; flat; completely distributive; totally continuous; quantale module; CATEGORIES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, projective modules over a quantale are characterized by distributivity, continuity, and adjointness conditions. It is then show that a morphism Q -> A of commutative quantales is coexponentiable if and only if the corresponding Q-module is projective, and hence, satisfies these equivalent conditions.
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页码：839 / 851
页数：13
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