CATEGORIES ENRICHED OVER A QUANTALOID: ALGEBRAS

被引：0
|
作者：
Pu, Qiang [1 ]
Zhang, Dexue [1 ]
机构：
[1] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China
来源：
THEORY AND APPLICATIONS OF CATEGORIES | 2015年 / 30卷
基金：
中国国家自然科学基金;
关键词：
Quantaloid; Q-category; complete Q-category; completely distributive Q-category; Q-powerset; Eilenberg-Moore algebra; monadicity;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a small quantaloid Q with a set of objects Q(0), it is proved that complete skeletal Q-categories, completely distributive skeletal Q-categories, and Q-powersets of Q-typed sets are all monadic over the slice category of Set over Q(0).
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页码：751 / 774
页数：24
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