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Persistence of homology over commutative noetherian rings
- Publication Year :
- 2020
-
Abstract
- We describe new classes of noetherian local rings $R$ whose finitely generated modules $M$ have the property that $Tor_i^R(M,M)=0$ for $i\gg 0$ implies that $M$ has finite projective dimension, or $Ext^i_R(M,M)=0$ for $i\gg 0$ implies that $M$ has finite projective dimension or finite injective dimension.<br />Comment: 23 pages
- Subjects :
- Mathematics - Commutative Algebra
13D07 (primary), 13D02, 13D40 (secondary)
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2005.10808
- Document Type :
- Working Paper