On the vanishing of (co)homology for modules admitting certain filtrations
Commutative Algebra
2024-08-07 v1
Abstract
We study the vanishing of (co)homology along ring homomorphisms for modules that admit certain filtrations, and generalize a theorem of O. Celikbas-Takahashi. Our work produces new classes of rigid and test modules, in particular over local rings of prime characteristic. It also gives applications in the study of torsion in tensor products of modules, for example, concerning the Huneke-Wiegand conjecture.
Keywords
Cite
@article{arxiv.2304.07641,
title = {On the vanishing of (co)homology for modules admitting certain filtrations},
author = {Olgur Celikbas and Yongwei Yao},
journal= {arXiv preprint arXiv:2304.07641},
year = {2024}
}