[PDF][PDF] Module classes induced by complexes and λ-pure-injective modules

M Cortés-Izurdiaga - arXiv preprint arXiv:2104.08602, 2021 - researchgate.net
We prove that, if GProj is the class of all Gorenstein projective modules over a ring R, then
GP=(GProj, GProj⊥) is a cotorsion pair. Moreover, GP is complete when all projective …

Module classes induced by complexes and -pure-injective modules

M Cortés-Izurdiaga, J Šaroch - arXiv e-prints, 2021 - ui.adsabs.harvard.edu
We prove that, if $\mathcal {GP} $ is the class of all Gorenstein projective modules over a
ring $ R $, then $\mathfrak {GP}=(\mathcal {GP},\mathcal {GP}^\perp) $ is a cotorsion pair …