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 …

We study irreducible morphisms in the bounded derived category of finitely generated
modules over an Artin algebra Λ, denoted Db (Λmod), by means of the underlying category …

Let Λ be an artin algebra. By letting the Nakayama functor act degree-wise, we define a
translation τ in the category of complexes of finitely generated Λ-modules, C (mod Λ). Then …

The paper deals with almost split sequences. Introduced in [2] for the category mod A of
finitely generated modules over an artin algebra A, almost split sequences were later found …

Let A be an artin algebra. We are interested in studying the representation theory of A, thus
the category mod A of finitely generated right A-modules. For this purpose, we fix a full …

Let A be a quasi-hereditary algebra. The aim of this paper is to show that the category of all
A-modules with good filtrations is functorially finite in A-mod, thus it has (relative) almost split …

Abstract top Let A be an Artin algebra and let 0→ X→⊕ i= 1 r Y i→ Z→ 0 be an almost split
sequence of A-modules with the Y i indecomposable. Suppose that X has a projective …

Let A be an artin algebra. We denote by A-mod the category of finitely generated left A-
modules, by Ta the Auslander-Reiten quiver of A and by DTr the Auslander-Reiten operator …

Tilting theory is known as a powerful tool for studying representation theory of artin algebras.
Though there are no non-trivial tilting modules over sel: finjective algebras, we have a way …

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