INJECTIVE HULLS OF PARTIALLY ORDERED MONOIDS

被引：0
|
作者：
Lambek, J. [1 ]
Barr, Michael [1 ]
Kennison, John F.
Raphael, R.
机构：
[1] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 0B9, Canada
来源：
THEORY AND APPLICATIONS OF CATEGORIES | 2012年 / 26卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
partially ordered monoids; injectives;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We find the injective hulls of partially ordered monoids in the category whose objects are po-monoids and submultiplicative order-preserving functions. These injective hulls are with respect to a special class of monics called "embeddings". We show as well that the injective objects with respect to these embeddings are precisely the quantales.
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页码：338 / 348
页数：11
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