Openness of various loci over Noetherian rings
Commutative Algebra
2022-01-31 v1
Abstract
In this paper, we consider the openness of the P-locus of a finitely generated module over a commutative noetherian ring in the case where P is each of the properties FID, Gor, CM, MCM, (S_n), and (T_n). One of the main results asserts that FID-loci over an acceptable ring are open. We give a module version of the Nagata criterion, and prove that it holds for all of the aforementioned properties.
Cite
@article{arxiv.2201.11955,
title = {Openness of various loci over Noetherian rings},
author = {Kaito Kimura},
journal= {arXiv preprint arXiv:2201.11955},
year = {2022}
}
Comments
13 pages