Frobenius maps on injective hulls and their applications to tight closure
Commutative Algebra
2014-02-26 v2
Abstract
This paper studies Frobenius maps on injective hulls of residue fields of complete local rings with a view toward providing constructive descriptions of objects originating from the theory of tight closure. Specifically, the paper describes algorithms for computing parameter test ideals, and tight closure of certain submodules of the injective hull of residue fields of a class of well-behaved rings which includes all quasi-Gorenstein complete local rings.
Cite
@article{arxiv.0902.3110,
title = {Frobenius maps on injective hulls and their applications to tight closure},
author = {Mordechai Katzman},
journal= {arXiv preprint arXiv:0902.3110},
year = {2014}
}
Comments
Minor corrections, an example added. To appear in the Journal of the London Mathematical Society