Vanishing of Tor over complete intersections

O Celikbas - 2011 - projecteuclid.org
In this paper we are concerned with the vanishing of Tor over complete intersection rings.
Building on results of Huneke, Jorgensen and Wiegand and, more recently, Dao, we obtain …

Syzygies and tensor product of modules

O Celikbas, G Piepmeyer - Mathematische Zeitschrift, 2014 - Springer
We give an application of the New Intersection Theorem and prove the following: let RR be a
local complete intersection ring of codimension cc and let MM and NN be nonzero finitely …

Intersection Theorem for DG-modules

X Yang - arXiv preprint arXiv:2405.00240, 2024 - arxiv.org
Let A be a commutative noetherian local DG-ring with bounded cohomology. The
Intersection Theorem for DG-modules is examined and some of its applications are …

Little dimension and the improved new intersection theorem

T Nakamura, R Takahashi, S Yassemi - arXiv preprint arXiv:1812.09704, 2018 - arxiv.org
arXiv:1812.09704v2 [math.AC] 15 Sep 2019 Page 1 arXiv:1812.09704v2 [math.AC] 15 Sep
2019 LITTLE DIMENSION AND THE IMPROVED NEW INTERSECTION THEOREM …

Homological flat dimensions

P Sahandi, T Sharif, S Yassemi - arXiv preprint arXiv:0709.4078, 2007 - arxiv.org
For finitely generated module $ M $ over a local ring $ R $, the conventional notions of
complete intersection dimension $\cid_R M $ and Cohen-Macaulay dimension $\cmdim_R …

Quasi projective dimension for complexes

T Sharif - arXiv preprint arXiv:1708.04455, 2017 - arxiv.org
arXiv:1708.04455v1 [math.AC] 15 Aug 2017 Page 1 arXiv:1708.04455v1 [math.AC] 15 Aug
2017 QUASI PROJECTIVE DIMENSION FOR COMPLEXES TIRDAD SHARIF Abstract. In this …