English

Freeness criteria via vanishing of Tor

Commutative Algebra 2024-04-04 v4

Abstract

We investigate some aspects of the module LL equipped with the property that Tor1R(L,F)=0Tor_1^R(L, F) =0 implies that FF is free. This has some applications.

Keywords

Cite

@article{arxiv.2204.02871,
  title  = {Freeness criteria via vanishing of Tor},
  author = {Mohsen Asgharzadeh and Elham Mahdavi},
  journal= {arXiv preprint arXiv:2204.02871},
  year   = {2024}
}