Homology Over Trivial Extensions of Commutative DG Algebras

Authors

Luchezar L. Avramov, University of Nebraska
Srikanth B. Iyengar, University of NebraskaFollow
Saeed Nasseh, Georgia Southern UniversityFollow
Sean Sather-Wagstaff, Clemson UniversityFollow

Document Type

Article

Publication Date

8-4-2015

Publication Title

arXIV.org Repository

Abstract

Conditions on the Koszul complex of a noetherian local ring R guarantee that TorRi(M,N) is non-zero for infinitely many i, when M and N are finitely generated R-modules of infinite projective dimension. These conditions are obtained from results concerning Tor of differential graded modules over certain trivial extensions of commutative differential graded algebras.

Comments

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Recommended Citation

Avramov, Luchezar L., Srikanth B. Iyengar, Saeed Nasseh, Sean Sather-Wagstaff. 2015. "Homology Over Trivial Extensions of Commutative DG Algebras." arXIV.org Repository: 1-14.
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/416