Locally finitely presented additive categories
Locally finitely presented additive categories
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DOI：
10.1080/00927879408824927
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发表时间：
1994
影响因子：
0.7
通讯作者：
W. Crawley-Boevey
中科院分区：
文献类型：
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作者：
W. Crawley-Boevey
在具有直接极限的加法范畴中，如果可表示函子Hom（X，-1）与直接极限交换，则称对象X是局部可表示的，并且忽略集合论的复杂性，如果每个对象都是有限可表示对象的直接极限，则称该范畴是局部可表示的。在本文中，我们有三个目标。首先，我们表明，这样的一个类别是完全由它的子类别的非线性提出的对象，我们展示了这两个类别的瓦里属性是如何相关的。特别是伊利
In an additive category with direct limits, an object X is said to be finitely presented provided that the representable functor Hom (X,-1 commutes with direct limits, and ignoring a set-theoretic complication we say that the category is locally finitely presented provided that every object is a direct limit of finit presented objects. In this paper we have three aims. First, we show that such a category is completely determined by its subcategory of finitely presented objects, and we show how vari properties of these two categories are related. Of particular ely