Descent in Locally Presentable Categories

被引：1

作者：

Mesablishvili, Bachuki ^{[1
]}

机构：

[1] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, GE-0177 Tbilisi, Georgia

来源：

APPLIED CATEGORICAL STRUCTURES | 2014年 / 22卷 / 5-6期

基金：

美国国家科学基金会;

关键词：

Effective descent morphism; Admissibly monoidal category; Pure morphism; COMONADICITY; FACETS;

D O I：

10.1007/s10485-013-9343-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let be a symmetric monoidal category such that is locally presentable and that all functors for preserve reflexive coequalizers and directed colimits. It is proved that any pure morphism of commutative oe center dot i-monoids is an effective descent morphism with respect to the indexed category given by commutative oe center dot i-monoids and modules over them. As a by-product, we prove that pure morphisms in a locally presentable category are effective for codescent.

引用

页码：715 / 726

页数：12

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