Let R be an artin algebra and C an additive subcategory of mod (R). We construct a t-
structure on the homotopy category K−(C) and argue that its heart HC is a natural domain for …

We investigate the structure of certain almost split sequences in $\mathcal {P}(\Lambda) $,
ie, the category of morphisms between projective modules over an Artin algebra $\Lambda …

This paper aims to initiate a study of the representation theory of representation-finite artin
algebras in terms of the nilpotency of the radical of their module category. Firstly, we shall …

Recently Sheila Brenner and MCR Butler [7J have studied, the so ca. lled tilting functors,
which are a generalisation of the Berns. tein-Gelfand-Ponomarev reflection functors. Their …

In this paper, we study, for an artin algebra, the class LA (and RA) which is a full subcategory
of the category modA of finitely generated A-modules, and which consists of all …

Let A be an artin algebra. We show that the bounded homotopy category of finitely
generated right A-modules has Auslander–Reiten triangles. Two applications are given:(1) …

Introduction. The study of homologically finite subcategories has turned out to be important
in several contexts, especially in the representation theory of artin algebras. In this paper we …

Recently, Auslander and Reiten initiated the study of k-Gorenstein artin algebra. They
conjectured that if an artin algebra $\it\Lambda $ is k-Gorenstein for all k, then it is …

We clarify the relation between the subcategory D hf b (A) of homological finite objects in D b
(A) and the subcategory K b (P) of perfect complexes in D b (A), by giving two classes of …

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 …