On modules with self Tor vanishing
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- ON MODULES WITH SELF TOR VANISHING
Accepted author manuscript, 118 KB, PDF document
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.
Original language | English |
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Journal | Communications in Algebra |
Volume | 48 |
Issue number | 10 |
Pages (from-to) | 4149-4154 |
ISSN | 0092-7872 |
DOIs | |
Publication status | Published - 2020 |
- G-dimension, projective dimension, Tor-persistent ring, vanishing of Tor
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