Derived endo-discrete artin algebras

Raymundo Bautista

Colloquium Mathematicae, Tome 106 (2006), p. 297-310 / Harvested from The Polish Digital Mathematics Library

Résumé

Let Λ be an artin algebra. We prove that for each sequence $(h_{i})_{i∈ ℤ}$ of non-negative integers there are only a finite number of isomorphism classes of indecomposables $X ∈ ^{b}(Λ)$, the bounded derived category of Λ, with $length_{E(X)}H^{i}(X) = h_{i}$ for all i ∈ ℤ and E(X) the endomorphism ring of X in $^{b}(Λ)$ if and only if $^{b}(Mod Λ)$, the bounded derived category of the category $Mod Λ$ of all left Λ-modules, has no generic objects in the sense of [4].

Détail

Publié le : 2006-01-01

Zbl 1103.16012

EUDML-ID : urn:eudml:doc:283566