A sufficient condition for F-purity
Commutative Algebra
2013-10-10 v3
Abstract
It is well known that nice conditions on the canonical module of a local ring have a strong impact in the study of strong F-regularity and F-purity. In this note, we prove that if (R,m) is an equidimensional and S_2 local ring that admits a canonical ideal I such that R/I is F-pure, then R is F-pure. We also provide examples to show that not all Cohen-Macaulay F-pure local rings satisfy this property.
Keywords
Cite
@article{arxiv.1210.8391,
title = {A sufficient condition for F-purity},
author = {Linquan Ma},
journal= {arXiv preprint arXiv:1210.8391},
year = {2013}
}
Comments
Improved main results, final version