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
N1 - Publisher Copyright:
© 2019, © 2019 Taylor & Francis Group, LLC.
PY - 2019/6/3
Y1 - 2019/6/3
N2 - Conditions on the Koszul complex of a noetherian local ring R guarantee that TorR i(M,N) is nonzero 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. Dedicated to Gennady Lyubeznik on the occasion of his 60th birthday.
AB - Conditions on the Koszul complex of a noetherian local ring R guarantee that TorR i(M,N) is nonzero 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. Dedicated to Gennady Lyubeznik on the occasion of his 60th birthday.
KW - Local DG algebra
KW - perfect DG module
KW - vanishing of Tor
UR - http://www.scopus.com/inward/record.url?scp=85060172947&partnerID=8YFLogxK
U2 - 10.1080/00927872.2018.1472272
DO - 10.1080/00927872.2018.1472272
M3 - Article
AN - SCOPUS:85060172947
SN - 0092-7872
VL - 47
SP - 2341
EP - 2356
JO - Communications in Algebra
JF - Communications in Algebra
IS - 6
ER -