We study the degree of irreducible morphisms in generalized standard convex components
of the Auslander–Reiten quiver of an artin algebra with the property that paths with the same …

Tilting theory is a central topic in the representation theory of algebras and related areas, as
illustrated by the diverse contributions to this volume. One of the important aspects has been …

We show that if A is a representation-finite selfinjective Artin algebra, then every P•∊ K b (𝒫
A) with Hom K (Mod− A)(P•, P•[i])= 0 for i≠ 0 and add (P•)= add (ν P•) is a direct summand of …

Composition of irreducible morphisms in quasi-tubes Page 1 Journal of Algebra and Its
Applications Vol. 16, No. 4 (2017) 1750071 (24 pages) c© World Scientific Publishing Company …

We consider A to be an artin algebra. We study the degrees of irreducible morphisms
between modules in Auslander–Reiten components Γ having only almost split sequences …

Let A and R be two artin algebras such that R is a split extension of A by a nilpotent ideal.
We prove that if R is quasi-tilted, or tame and tilted, then so is A. Moreover, generalizations …

Let A be an artin algebra, and F a component of the Aaslander-Reiten qmver of A. it has
been asked [12] whether the number of isomorphism classes of indecomposable A-modules …

Full article: On the Postprojective Partitions and Components of the Auslander-Reiten Quivers
Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

This paper is based on work and notes of Maurice Auslander. Let A be an artin algebra and
denote by mod A the finitely generated (left) A-modules. When 0→ A→ BC O is an exact …

Let A be an artin algebra and mod A the category of finitely generated left A-modules.
Denote by rad (mod A) the Jacobson radical of mod A and by rad*(mod A) the infinite radical …