Skip to main content
Article
Homology Over Trivial Extensions of Commutative DG Algebras
arXIV.org Repository
  • Luchezar L. Avramov, University of Nebraska
  • Srikanth B. Iyengar, University of Nebraska
  • Saeed Nasseh, Georgia Southern University
  • Sean Sather-Wagstaff, Clemson University
Document Type
Article
Publication Date
8-4-2015
Disciplines
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

This version of the paper was obtained from arXIV.org. In order for the work to be deposited in arXIV.org, the authors must hold the rights or the work must be under Creative Commons Attribution license, Creative Commons Attribution-Noncommercial-ShareAlike license, or Create Commons Public Domain Declaration.

Citation Information
Luchezar L. Avramov, Srikanth B. Iyengar, Saeed Nasseh and Sean Sather-Wagstaff. "Homology Over Trivial Extensions of Commutative DG Algebras" arXIV.org Repository (2015) p. 1 - 14
Available at: http://works.bepress.com/saeed_nasseh/33/