Cohen-Macaulay test ideals over rings of finite and countable Cohen-Macaulay type
Commutative Algebra
2021-03-04 v1
Abstract
The third named author and P\'{e}rez proved that under certain conditions the test ideal of a module closure agrees with the trace ideal of the module closure. We use this fact to compute the test ideals of various rings with respect to the closures coming from their indecomposable maximal Cohen-Macaulay modules. We also give an easier way to compute the test ideal of a hypersurface ring in 3 variables coming from a module with a particular type of matrix factorization.
Keywords
Cite
@article{arxiv.2103.02529,
title = {Cohen-Macaulay test ideals over rings of finite and countable Cohen-Macaulay type},
author = {Julian Benali and Shrunal Pothagoni and Rebecca R. G.},
journal= {arXiv preprint arXiv:2103.02529},
year = {2021}
}
Comments
18 pages, to appear in Involve, comments welcome