From the viewpoint of higher homological algebra, we introduce pure semisimple n-abelian
categories, which are analogs of pure semisimple abelian categories. Let Λ be an Artin …

Let\cal M ℳ be an n-cluster tilting subcategory of mod-Λ, where Λ is an Artin algebra. Let\cal
S (\cal M) S (ℳ) denote the full subcategory of\cal S (Λ) S (Λ), the submodule category of Λ …

Let Λ be an artin algebra and M be an n-cluster tilting subcategory of mod Λ. We show that M
has an additive generator if and only if the n-almost split sequences form a basis for the …

The concept of cluster tilting gives a higher analogue of classical Auslander correspondence
between representation-finite algebras and Auslander algebras. The n-Auslander–Reiten …

Using the Morita-type embedding, we show that any exact category with enough projectives
has a realization as a (pre) resolving subcategory of a module category. When the exact …

We generalize the notions of n-cluster tilting subcategories and τ-selfinjective algebras into
n-precluster tilting subcategories and τ n-selfinjective algebras, where we show that a …

In this article we further study the full subcategories of the category of finitely generated
modules over an Artin algebra introduced in Platzeck and Pratti, consisting of the modules …

Let (mod Λ′, mod Λ, mod Λ ″) be a recollement of module categories for artin algebras
Λ′, Λ and Λ ″. We provide a sufficient condition such that a glued torsion pair in mod Λ is …

We investigate the (separated) monomorphism category $\operatorname
{mono}(Q,\Lambda) $ of a quiver over an Artin algebra $\Lambda $. We show that there …

Let $(\mbox {mod}\Lambda',\mbox {mod}\Lambda,\mbox {mod}\Lambda'') $ be a recollement
of abelian categories for artin algebras $\Lambda'$, $\Lambda $ and $\Lambda''$. Under …