The vanishing of self-extensions over n-symmetric algebras of quasitilted type

• Autorzy: Maciej Karpicz , Marju Purin
• Języki publikacji: EN

Abstrakty

EN

A ring Λ satisfies the Generalized Auslander-Reiten Condition (𝖦 𝖠 𝖱 𝖢) if for each Λ-module M with $Ext^{i}(M,M⊕ Λ) = 0$ for all i > n the projective dimension of M is at most n. We prove that this condition is satisfied by all n-symmetric algebras of quasitilted type.

Kategorie tematyczne

• 16E65: Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.)
• 16D50: Injective modules, self-injective rings
• 16G99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2014
• Tom: 136
• Numer: 1
• Strony: 99-108

Daty

wydano

2014

Twórcy

autor

Maciej Karpicz

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

Marju Purin

• Department of Mathematics, Statistics and Computer Science, St. Olaf College, Northfield, MN 55057, U.S.A.

Identyfikatory

DOI

10.4064/cm136-1-9