Let Λ be an Artin algebra and mod-(Gprj _-Λ) the category of finitely presented functors over
the stable category Gprj _-Λ of finitely generated Gorenstein projective Λ-modules. This …

Abstract Let Λ=\left () Λ=(AM 0 B) be an Artin algebra. In view of the characterization of
finitely generated Gorenstein injective Λ-modules under the condition that M is a …

Let $\text {Gprj}\mbox {-}\Lambda $ denote the category of Gorenstein projective modules
over an Artin algebra $\Lambda $ and the category $\text {mod}\mbox {-}(\underline {\text …

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 …

An Artin algebra is by definition virtually Gorenstein if the class of modules which are right
orthogonal (with respect to $\operatorname {Ext}^*(-,-) $) to all Gorenstein projective …

We explore some properties of wide subcategories of the category mod (Λ) of finitely
generated left Λ-modules, for some artin algebra Λ. In particular we look at wide finitely …

Let $\Lambda $ and $\Gamma $ be Artin algebras, $ M $ a $\Gamma-\Lambda $-bimodule,
and $ R $ the triangular matrix ring of $\Lambda,\Gamma $, and $ M $; assume that $ R $ is …

In this paper, we introduce and study (weak) pure-injective Gorenstein projective modules.
Let R be an Artin algebra. We prove that the category of weak pure-injective Gorenstein …

We give an alternative proof to the fact that, if the square of the infinite radical of the module
category of an Artin algebra is equal to zero, then the algebra is of finite type by making use …

We exploit singular equivalences between artin algebras that are induced from certain
functors between the stable module categories. Such functors are called pre-triangle …