2020/01/07 by Lieberman, Michael, Positselski, Leonid, Rosicky, Jiri +1 · 2 citations
#Category Theory (math.CT) #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2001.02062
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.