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arXiv · 1508.00748

Homology over trivial extensions of commutative DG algebras

Luchezar L. Avramov·Srikanth B. Iyengar·Saeed Nasseh·Sean Sather-Wagstaff
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Abstract

Conditions on the Koszul complex of a noetherian local ring $R$ guarantee that $\mathrm{Tor}^{R}_{i}(M,N)$ 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.

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Luchezar L. Avramov, Srikanth B. Iyengar, Saeed Nasseh, Sean Sather-Wagstaff. 2015-08-04. Homology over trivial extensions of commutative DG algebras. https://arxiv.org/abs/1508.00748

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