论文标题
纯单态的同伴产生
Cofibrant generation of pure monomorphisms
论文作者
论文摘要
我们表明,纯单形态是通过在任何局部有限的添加剂类别中,通过下定位,跨足组成和缩回的形态产生的 - 通过一组形态产生。特别是,在任何类别的$ r $模型中都是如此。
We show that pure monomorphisms are cofibrantly generated---generated from a set of morphisms by pushouts, transfinite composition, and retracts---in any locally finitely presentable additive category. In particular, this is true in any category of $R$-modules.