On Flat Objects of Finitely Accessible Categories
نویسنده
چکیده
Flat objects of a finitely accessible additive category C are described in terms of some objects of the associated functor category of C, called strongly flat functors. We study closure properties of the class of strongly flat functors, and we use them to deduce the known result that every object of a finitely accessible abelian category has a flat cover.
منابع مشابه
Covers in finitely accessible categories
We show that in a finitely accessible additive category every class of objects closed under direct limits and pure epimorphic images is covering. In particular, the classes of flat objects in a locally finitely presented additive category and of absolutely pure objects in a locally coherent category are covering.
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ورودعنوان ژورنال:
دوره 2013 شماره
صفحات -
تاریخ انتشار 2013