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math.KT2019
On pure derived and pure singularity categories
Tianya Cao, Wei Ren
Firstly, we compare the bounded derived categories with respect to the pure-exact and the usual exact structures, and describe bounded derived category by pure-projective modules,…
math.KT2019
Quillen equivalence of singular model categories
Wei Ren
Let be a left-Gorenstein ring. We show that there is a Quillen equivalence between singular contraderived model category and singular coderived model category. Consequently, an…
math.KT2017★ 1 cited
Gorenstein projective modules and Frobenius extensions
Wei Ren
We prove that for a Frobenius extension, if a module over the extension ring is Gorenstein projective, then its underlying module over the the base ring is Gorenstein projective; t…