Tilting, cotilting, and spectra of commutative noetherian rings

Details Tilting, cotilting, and spectra of commutative noetherian rings Tilting, cotilting, and spectra of commutative noetherian rings

2012-03-05

arxiv.org/abs/1203.0907v1

Mathematics

Commutative Algebra

27 pages

Scientific paper

We classify tilting and cotilting classes over commutative noetherian rings in terms of descending sequences of specialization closed subsets of the Zariski spectrum. As a corollary we give a classification of all resolving subcategories of finitely generated modules of bounded projective dimension, prove that they hardly ever provide for approximations, and relate our results to Hochster's conjecture claiming the existence of finitely generated maximal Cohen-Macaulay modules.

Affiliated with

Also associated with

No associations

Rating

Tilting, cotilting, and spectra of commutative noetherian rings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Tilting, cotilting, and spectra of commutative noetherian rings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tilting, cotilting, and spectra of commutative noetherian rings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-133014