TY - JOUR
T1 - Homology Over Trivial Extensions of Commutative DG Algebras
AU - Avramov, Luchezar L.
AU - Iyengar, Srikanth B.
AU - Nasseh, Saeed
AU - Sather-Wagstaff, Sean
PY - 2015/8/4
Y1 - 2015/8/4
N2 - 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.
AB - 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.
KW - Commutative DG algebras
KW - Homology
KW - Trivial extensions
UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/416
M3 - Article
JO - arXIV.org Repository
JF - arXIV.org Repository
ER -