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 …

Full article: Gorenstein Flat Complexes Over Coherent Rings with Finite Self-FP-Injective
Dimension Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online …

In this paper, we show that the Gorenstein global dimension of trivial ring extensions is often
infinite. Also we study the transfer of Gorenstein properties between a ring and its trivial ring …

Let $ R $ be a commutative noetherian ring. Enochs and Huang [EH] proved that over a
Gorenstein ring of Krull dimension $ d $, every Gorenstein injective module admits a …

In this paper we develop the homological properties of the $(\mathcal {L},\mathcal {A}) $-
Gorenstein flat $ R $-modules $\mathcal {GF} _ {(\mathcal {F}(R),\mathcal {A})} $ proposed …

Full article: On (Strongly) Gorenstein Von Neumann Regular Rings Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart …

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 …

For M∈ R-Mod and τ∈ M-tors, we define the concept of fully τ-bounded module as a
generalization of the concept of fully τ-bounded ring. We prove that for a τ-noetherian …

Journal of Algebra Strongly Gorenstein projective, injective and flat modules Page 1 Journal
of Algebra 320 (2008) 2659–2674 Contents lists available at ScienceDirect Journal of Algebra …

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 …