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) …

Let Λ be an artin algebra, and denote by mod Λ the category of finitely generated Λ-
modules. All modules we consider are finitely generated. We recall from [6] that a nonsplit …

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 …

Liu's Theorem Let be an artin algebra and let 0! X!ri= 1 Yi! Z! 0 be an almost split sequence
in the category of nitely generated-modules such that all Yi's are indecomposable. Suppose …

Almost projective modules and almost split sequences with indecomposable middle term Page 1
COMMUNICATIONS IN ALGEBRA, 8(12), 1123-1150 (1980) ALMOST PROJECTIVE MODULES …

Let Λ be an Artin algebra, let modΛ be the category of finitely generated Λ-modules, and let
A⊂ modΛ be a contravariantly finite and extension closed subcategory. For an …

0-> A-> B-> C-> 0 is called an almost split sequence if a) it is not splitable, b) A and C are
indecomposable A-modules and c) if f: X-> C is not a splitable epimorphism, then there is an …

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 …

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 …

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 …