We show that any module admits a presentation as the quotient of a Gorenstein projective
module by a submodule which is itself right orthogonal, with respect to the standard Ext 1 …

We establish some relationships between Gorenstein AC-projective modules and
Gorenstein AC-flat modules. As applications, we obtain some new characterizations of …

A triangulated category is an additive category C equipped with an automorphism Σ: C→ C,
called the suspension functor, and a class of diagrams in C of the form A→ B→ C→ ΣA …

Over any associative ring $ R $ it is standard to derive $\mathrm {Hom} _R (-,-) $ using
projective resolutions in the first variable, or injective resolutions in the second variable, and …

This paper is devoted to the study of recollements of functor categories in different levels. In
the first part of the paper, we start with a small category 𝒮 S and a maximal object s of 𝒮 S …

For a self-orthogonal module T, the relation between the quotient triangulated category D b
(A)/K b (add T) and the stable category of the Frobenius category of T-Cohen-Macaulay …

Let $\Lambda $ be an arbitrary monomial algebra. We investigate the stable category
$\underline {\operatorname {Gproj}}^{\mathbb {Z}}\Lambda $ of graded Gorenstein …

Let R be a commutative Noetherian ring and C a semidualizing R-module. We obtain an
exact structure (ℋ C, 𝜀) and prove that the full subcategory ℋ C∩ 𝒢 ℱ C of ℋ C is a …

Let 𝓔 be a Frobenius category, 𝓟 \mathcalP its subcategory of projective objects and F: 𝓔→
𝓔 an exact automorphism. We prove that there is a fully faithful functor from the orbit …

Abstract Let T=(RM 0 S) be a triangular matrix ring with R and S rings and RMS an R–S-
bimodule. We describe Gorenstein projective modules over T. In particular, we refine a result …