In this paper, Gorenstein FP-injective modules are introduced and studied. An R-module M
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …

We introduce compatible bimodules. If M is a compatible A–B-bimodule, then the Gorenstein-
projective modules over algebra Λ=(AM0B) are explicitly described; and if Λ is Gorenstein …

Let A be an abelian category and P (A) be the subcategory of A consisting of projective
objects. Let C be a full, additive and self-orthogonal subcategory of A with P (A) a generator …

In the paper, we mainly connect the Gorenstein derived equivalence and stable functors of
Gorenstein projective modules. Specially, we prove that a Gorenstein derived equivalence …

Let R be a graded ring and n⩾ 1 an integer. We introduce and study n-strongly Gorenstein
gr-projective, gr-injective and gr-flat modules. Some examples are given to show that n …

Let R be a commutative (possibly non-Noetherian) ring (in order to make things less
technical) and C a semidualizing R-module. In this article, we introduce and investigate the …

arXiv:2403.05097v1 [math.AC] 8 Mar 2024 Page 1 arXiv:2403.05097v1 [math.AC] 8 Mar 2024
EQUIVALENCES OF STABLE CATEGORIES OF GORENSTEIN LOCAL RINGS TONY J …

Let R be a right coherent ring and D b (R-Mod) the bounded derived category of left R-
modules. Denote by D^ b\left (R-Mod\right) _\left GF, C\right D b (R− M od) GF, C^ the …

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 …

In this paper, we study a particular case of Gorenstein projective, injective, and flat modules,
which we call, respectively, strongly Gorenstein projective, injective, and flat modules. These …