Introduction. Let A be an artin algebra and mod A the category of finitely generated (left) A-
modules. In this paper we shall develop sane techniques for constructing almost split …

248 BAER equivalence of the conditions" A is tame"," P is left noetherian" and" R is left
noetherian", P and R denoting the categories of all preprojective and regular modules …

The Krull-Gabriel Dimension of Cycle-Finite Artin Algebras Page 1 Algebr Represent Theor (2016)
19:215–233 DOI 10.1007/s10468-015-9571-6 The Krull-Gabriel Dimension of Cycle-Finite Artin …

If $\Lambda $ is an artin algebra there is a partition of $\operatorname {ind}\Lambda $, the
category of indecomposable finitely generated $\Lambda $-modules, $\operatorname …

Let be a-angulated category with d-suspension functor. Our main results show that every
Serre functor on is a-angulated functor. We also show that has a Serre functor if and only if …

Xiao and Zhu proved that if C is a locally finite triangulated category, then C has Auslander–
Reiten triangles. Let n be a positive integer. The notion of n-abelian categories is a higher …

We will study the relationship of quite different objects in the theory of artin algebras, namely
Auslander-regular rings of global dimension two, torsion theories, $\tau $-categories and …

AUSLANDER-REITEN COMPONENTS DETERMINED BY THEIR COMPOSITION FACTORS
1. Introduction and main results Let A be an Artin algebra o Page 1 PROCEEDINGS OF THE …

Let A be an Artin algebra and let Gprj-Λ denote the class of all the finitely generated
Gorenstein projective Λ-modules. In this paper, we study the components of the stable …

Let $ A $ be an artin algebra. An indecomposable finitely generated $ A $-module $ X $ is
said to be on a short cycle if there exists an indecomposable finitely generated $ A $-module …