Resumen de Gorenstein homology, relative pure homology and virtually Gorenstein rings

Fatemeh Zareh Khoshchehreh, Mohsen Asgharzadeh, Kamran Divaani-Aazar

• We consider the following question: Is Gorenstein homology a XX-pure homology, in the sense defined by Warfield, for a class XX of modules? Let GPGP denote the class of Gorenstein projective modules. We prove that over a commutative Noetherian ring R of finite Krull dimension, Gorenstein homology is a GPGP-pure homology if and only if R is virtually Gorenstein