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math.AC2021
Rigidity of Ext and Tor via flat-cotorsion theory
Lars Winther Christensen, Luigi Ferraro, Peder Thompson
Let p be a prime ideal in a commutative noetherian ring R and denote by k(p) the residue field of the local ring R_p. We prove that if an R-module M satisfies Ext_R^n(k(p),M) = 0 f…
math.AC2021
The homotopy Lie algebra of a Tor-independent tensor product
Luigi Ferraro, Mohsen Gheibi, David A. Jorgensen +2
In this article we investigate a pair of surjective local ring maps and their relation to the canonical projection , where …