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arXiv 2001.02062math.CTmath.RA
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纯单态的凝聚生成

Cofibrant generation of pure monomorphisms

Michael Lieberman, Leonid Positselski, Jiri Rosicky, Sebastien Vasey

摘要:

我们表明,纯单态是cofibrantly生成-从一组态射的推出,超限组成,并收回-在任何局部可表示的加法范畴。特别地,这在任何类别的$R$模块中都是正确的。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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