Let A be an artin algebra, mod A the category of finitely generated right A-modules, rad"(mod
A) the infinite radical of mod A and IT, the Auslander–Reiten quiver of A. Following [32] an …

Let A be an artin algebra over a commutative artin ring R, mod A be the category of finitely
generated right A-modules, and rad∞(modA) be the infinite power of the Jacobson radical …

In this paper we find the indecomposable pure injective modules over the algebras
described in the title. For undefined terms we refer to [3] and [i]. In the latter reference many …

An artin algebra A is said to be equivalent to an algebra A'modulo preprojectives up to the
level n if the categories mod A/add pn (A) and mod A1/add~(A'I are equivalent, Necessary …

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 …

We describe the structure and homological properties of arbitrary generalized standard
Auslander–Reiten components of artin algebras. In particular, we prove that for all but finitely …

Let $0\to A\to B\xrightarrow {g} C\to 0$ be a short exact sequence in the category of finitely
generated modules over an artin algebra. Suppose also that the map g is irreducible …

Two artin algebras $\Lambda $ and $\Lambda'$ are said to be stably equivalent if the
categories of finitely generated modules modulo projective for $\Lambda $ and $\Lambda' …

O. Introduction Tame hereditary Artin algebras have a lot of nice homological properties: For
instance, the categories P, Rand 1 consisting of all preprojective, regular and preinjective …

Let A be an artin algebra, for example a finite dimensional algebra over a field k and C an
indecomposable nonprojective finitely generated left A-module. Then there is an exact …