We give conditions on when a triangular matrix ring is Gorenstein of a given selfinjective
dimension. We apply the result to the category algebra of a finite EI category. In particular …

Gorenstein derived categories are defined, and the relation with the usual derived
categories is given. The bounded Gorenstein derived categories of Gorenstein rings and of …

Let A be a finite-dimensional Gorenstein algebra of finite CM-type. We show that the
Gorenstein derived category of A has Auslander–Reiten triangles. In this case, we otain a …

Let A and B be rings, U a (B, A)-bimodule and T= A 0 UB be a triangular matrix ring. We first
give an explicit description for Gorenstein injective T-modules over the triangular matrix ring …

We generalize the monomorphism category from quiver (with monomial relations) to
arbitrary finite dimensional algebras by a homological definition. Given two finite dimension …

Let $ A $ be a virtually Gorenstein algebra of finite CM-type. We establish a duality between
the subcategory of compact objects in the homotopy category of Gorenstein projective left …

In this paper we construct Gorenstein-projective modules over Morita rings with zero
bimodule homomorphisms and we provide sufficient conditions for such rings to be …

The monomorphism category S n (X) is introduced, where X is a full subcategory of the
module category A-mod of an Artin algebra A. The key result is a reciprocity of the …

We apply previous techniques on infinite quivers to describe projective and injective
modules over a monomial algebra Λ= RQ/I (where R is any arbitrary ring with identity). Then …

We prove a generalization of the stability for Gorenstein categories in [36] and [24]; and
show that the relative Auslander algebra of a CM-finite algebra is CM-free. On the other …