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.

引用

页码：338 / 348

页数：11

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