Test elements in equal characteristic semianalytic algebras
Commutative Algebra
2022-09-20 v2
Abstract
We establish a series of results showing that the Jacobian ideal is contained in the test ideal. We first prove a new result in characteristic for complete rings over a field . Then we prove some results showing that Jacobian ideals are contained in test ideals in equal characteristic 0 for affine, analytic, affine-analytic and semianalytic -algebras.
Cite
@article{arxiv.2104.12867,
title = {Test elements in equal characteristic semianalytic algebras},
author = {Zhan Jiang},
journal= {arXiv preprint arXiv:2104.12867},
year = {2022}
}
Comments
Re-organized some paragraphs. Section 6.5 is new