Extriangulated categories were introduced by Nakaoka and Palu to give a unification of
properties in exact categories and extension-closed subcategories of triangulated …

For an abelian category A, we define the category PEx (A) of pullback diagrams of short
exact sequences in A, as a subcategory of the functor category Fun (Δ, A) for a fixed diagram …

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 …

with Only Preprojective Modules Page 1 JOURNAL OF ALGEBRA 157, 472–488 (1993)
Components of Auslander–Reiten Ouivers with Only Preprojective Modules FLÁVIO ULHOA …

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

Let Λ Λ be an Artin algebra and M ∈ M∈ mod Λ Λ. It is well-known that the Bongartz's
Theorem plays an important role in the representation theory of Artin algebras. In this paper …

For the module category of an Artin algebra, we generalize the notion of torsion pairs to
ideal torsion pairs. Instead of full subcategories of modules, ideals of morphisms of the …

The Auslander correspondence is a fundamental result in Auslander-Reiten theory. In this
paper we introduce the category mo d adm (E) of admissibly finitely presented functors and …

We develop an Auslander-Reiten theory for triangulated categories which is based on
Brown's representability theorem. In a fundamental article [3], Auslander and Reiten …

We generalize the relative (co) tilting theory of Auslander-Solberg [9, 10] in the category mod
Λ of finitely generated left modules over an artin algebra Λ to certain subcategories of mod …