Derived endo-discrete artin algebras

• Autorzy: Raymundo Bautista
• Języki publikacji: EN

Abstrakty

EN

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 $X ∈ 𝓓^{b}(Λ)$, 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 $𝓓^{b}(Λ)$ if and only if $𝓓^{b}(Mod Λ)$, the bounded derived category of the category $Mod Λ$ of all left Λ-modules, has no generic objects in the sense of [4].

Kategorie tematyczne

• 18E30: Derived categories, triangulated categories
• 16G60: Representation type (finite, tame, wild, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2006
• Tom: 105
• Numer: 2
• Strony: 297-310

Daty

wydano

2006

Twórcy

autor

Raymundo Bautista

• Instituto de Matemáticas, UNAM, Unidad Morelia, A.P. 61-3, Xangari, C.P. 58089, Morelia, Michoacán, México

Identyfikatory

DOI

10.4064/cm105-2-10