On modules with self Tor vanishing
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- ON MODULES WITH SELF TOR VANISHING
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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.
Originalsprog | Engelsk |
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Tidsskrift | Communications in Algebra |
Vol/bind | 48 |
Udgave nummer | 10 |
Sider (fra-til) | 4149-4154 |
ISSN | 0092-7872 |
DOI | |
Status | Udgivet - 2020 |
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