Forskning ved Københavns Universitet - Københavns Universitet

Forside

On modules with self Tor vanishing

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

Dokumenter

The long-standing Auslander and Reiten Conjecture states that a finitely generated module over a finite-dimensional algebra is projective if certain Ext-groups vanish. Several authors, including Avramov, Buchweitz, Iyengar, Jorgensen, Nasseh, Sather-Wagstaff, and Şega, have studied a possible counterpart of the conjecture, or question, for commutative rings in terms of the vanishing of Tor. This has led to the notion of Tor-persistent rings. Our main result shows that the class of Tor-persistent local rings is closed under a number of standard procedures in ring theory.

OriginalsprogEngelsk
TidsskriftCommunications in Algebra
Vol/bind48
Udgave nummer10
Sider (fra-til)4149-4154
ISSN0092-7872
DOI
StatusUdgivet - 2020

ID: 242414901