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1. Persistence of homology over commutative noetherian rings.

Author

Avramov, Luchezar L., Iyengar, Srikanth B., Nasseh, Saeed, and Sather-Wagstaff, Keri

Subjects
*GORENSTEIN rings, *COMMUTATIVE rings, *NOETHERIAN rings, *MODULES (Algebra), *LOCAL rings (Algebra)
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 ≫ 0 implies that M has finite projective dimension, or Ext R i (M , M) = 0 for i ≫ 0 implies that M has finite projective dimension or finite injective dimension. [ABSTRACT FROM AUTHOR]

Published
2022
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