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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 …

For a finite free EI category, we construct an explicit module over its category algebra. If in
addition the category is projective over the ground field, the constructed module is a …

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 …

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 …

DERIVED CATEGORY WITH RESPECT TO GORENSTEIN AC-PROJECTIVE MODULES Tianya
Cao, Zhongkui Liu and Xiaoyan Yang Abstract 1. Introduc Page 1 TY CAO, ZK LIU AND XY …

Abstract Let A, A′, and A ″be artin algebras. We prove that if there is a recollement of the
bounded Gorenstein derived category DG (P (Mod A)) b (Mod A) relative to the bounded …

Let A be an artin algebra of finite CM-type. In this paper, we show that if A is virtually
Gorenstein, then the homotopy category of Gorenstein projective A- modules, denote K(A …

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 …

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 …