We show that over a right coherent left perfect ring R, a complex C of left R-modules is
Gorenstein projective if and only if C m is Gorenstein projective in R-Mod for all m∈ ℤ …

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 …

For a left Noetherian ring R, if the supremum of flat dimensions of all injective left R-modules
is finite, we prove that strongly cotorsion left R-modules coincide with Gorenstein injective …

The notion of $2 $-almost Gorenstein ring is a generalization of the notion of almost
Gorenstein ring in terms of Sally modules of canonical ideals. In this paper, we deal with two …

Notes on Strongly n-Gorenstein Projective, Injective and Flat Modules Page 1 Chin. Quart. J. of
Math. 2012, 27 (3): 389—396 Notes on Strongly n-Gorenstein Projective, Injective and Flat …

In this paper we characterize the relative Gorenstein weak global dimension of the
generalized Gorenstein $\mathcal {Y} $-flat modules recently studied by S. Estrada, A. Iacob …

We show that an iteration of the procedure used to define the Gorenstein projective modules
over a ring R yields exactly the Gorenstein projective modules. Specifically, given an exact …

Given a non-negative integer $ n $ and a ring $ R $ with identity, we construct an abelian
model structure on the category of left $ R $-modules where the class of cofibrant objects …

We study homological and homotopical aspects of Gorenstein flat modules over a ring with
respect to a duality pair $(\mathcal {L, A}) $. These modules are defined as cycles of exact …

In this paper, we show that if R is a local Cohen–Macaulay ring admitting a dualizing module
Ω, then Ω-Gorenstein projective and flat covers and Ω-Gorenstein injective envelopes exist …