Let A be an Artin algebra and modA be the category of finitely generated right A-modules.
We prove that an additive full subcategory C of modA closed under predecessors is …

This paper studies properties of a class of modules over an artin algebra called trace
quotient modules whichwe define below. We were led to consider these modules during our …

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 …

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

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 …

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 …

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 …

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 …

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 …

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 …