Gorenstein homology, relative pure homology and virtually Gorenstein rings

• Autores: Fatemeh Zareh Khoshchehreh, Mohsen Asgharzadeh, Kamran Divaani-Aazar
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 218, Nº 12, 2014, págs. 2356-2366
• Idioma: inglés
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• Resumen

  • 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