Persistence of homology over commutative noetherian rings

LL Avramov, SB Iyengar, S Nasseh, K Sather-Wagstaff - Journal of Algebra, 2022 - Elsevier
We describe new classes of noetherian local rings R whose finitely generated modules M
have the property that Tor i R (M, M)= 0 for i≫ 0 implies that M has finite projective …

A study of the cohomological rigidity property

M Asgharzadeh, O Celikbas, A Sadeghi - arXiv preprint arXiv:2009.06481, 2020 - arxiv.org
In this paper, motivated by a work of Luk and Yau, and Huneke and Wiegand, we study
various aspects of the cohomological rigidity property of tensor product of modules over …