Let kG be the group algebra of a finite group G over a field k of characteristic p. For any non-
projective indecomposable right &G-module W, there is a so called Auslander-Reiten …

Let kG be the group algebra of a finite group G over a field k of characteristic p, where p is a
prime. In his paper [6], Green defined relative projectivity for short exact sequences of group …

Almost split sequences lie in the heart of Auslander-Reiten theory. This paper deals with the
structure of almost split sequences with certain ending terms in the morphism category of an …

Let kG be the group algebra of a finite group G over an algebraically closed field k of
characteristic py p 4= 0. Fix a normal subgroup N of G and a non-projective indecomposable …

Let G be a finite group and ka field of characteristic^>> 0. Let Ts (kG) be the stable
Auslander-Reiten quiver of the group algebra kG. By Webb's theorem, the tree class of a …

Let G be a finite group, ka field of characteristic p> 0 and B a block of the group algebra kG.
Let θ be a connected component (AR-component for short) of the stable Auslander-Reiten …

Let A be an additive k-category, ka commutative artinian ring and n> 1. We denote by Cn (A)
the category of complexes [Formula: see text] in A with Xi= 0 if i∉{1,…, n}. We see that Cn (A) …

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 …

The main aim of this paper is to study the Auslander-Reiten sequences in modR* G, the
category of finitely generated left R* G-modules, where R* G is the crossed product of a finite …

Let A be an Artin algebra. As we know, the construction of the well-known Auslander-Reiten
sequence is based on the natural (A, A)-bimodule A and the induced transpose, where the …