Covers in finitely accessible categories
Covers in finitely accessible categories
复制标题
DOI：
10.1090/s0002-9939-09-10178-8
复制
发表时间：
2010-04
期刊：
影响因子：
--
通讯作者：
S. Crivei;M. Prest;B. Torrecillas
中科院分区：
文献类型：
--
作者：
S. Crivei;M. Prest;B. Torrecillas
我们证明了在有限可达可加范畴中，每一类在直接极限下闭合的纯满射像都是覆盖的。特别地，局部有限表示的加法范畴中的平面对象类和局部凝聚范畴中的绝对纯对象的类是覆盖的。
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.