For a class of $ R $-modules $\mathcal {X} $ containing all projective $ R $-modules, the
$\mathcal {X} $-Gorenstein projective $ R $-modules vary from projective to Gorenstein …

arXiv:1405.3375v2 [math.RA] 7 May 2015 Page 1 arXiv:1405.3375v2 [math.RA] 7 May 2015
GORENSTEIN DERIVED FUNCTORS FROM SPECIAL RINGS TO ARBITRARY RINGS TIWEI …

Gorenstein injective covers and envelopes over noetherian rings Page 1 PROCEEDINGS OF
THE AMERICAN MATHEMATICAL SOCIETY Volume 143, Number 1, January 2015, Pages …

We prove that for a Frobenius extension, if a module over the extension ring is Gorenstein
projective, then its underlying module over the base ring is Gorenstein projective; the …

We prove that, for any n≥ 2, the classes of FP n-injective modules and of FP n-flat modules
are both covering and preenveloping over any ring R. This includes the case of FP∞ …

A left and right Noetherian ringRis called Gorenstein if bothRRandRRhave finite injective
dimensions. These rings were studied by Bass for the commutative case and Iwanaga for …

The authors introduce and investigate the T_C-Gorenstein projective, L_C-Gorenstein
injective and H_C-Gorenstein flat modules with respect to a semidualizing module C which …

One of the open problems in Gorenstein homological algebra is: when is the class of
Gorenstein injective modules closed under arbitrary direct limits? It is known that if the class …

In this paper, strongly Gorenstein flat modules are introduced and investigated. An R-
module M is called strongly Gorenstein flat if there is an exact sequence⋯→ P1→ P0→ P0→ …

We introduce a generalization of the Gorenstein injective modules: the Gorenstein FP n-
injective modules (denoted by GI n). They are the cycles of the exact complexes of injective …