A generalization of the Gabriel–Popescu theorem
A generalization of the Gabriel–Popescu theorem
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DOI：
10.1016/j.jpaa.2003.11.016
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发表时间：
2004-06
影响因子：
0.8
通讯作者：
Wendy Lowen
中科院分区：
文献类型：
--
作者：
Wendy Lowen
本文给出了一个加性函子u: u→C，从一个小的预加性范畴u到一个Grothendieck范畴C的充要条件，以实现C是u上预轴范畴的一个局部化。这是Gabriel-Popescu定理的推广，它考虑了u完全忠实的情况。
In this paper we give necessary and sufficient conditions for an additive functor u : u → C , from a small pre-additive category u to a Grothendieck category C , to realize C as a localization of the category of presheaves on u . This is a generalization of the Gabriel–Popescu theorem, which considers the case where u is fully faithful.