Permanence properties of splinters via ultrapower
Commutative Algebra
2022-05-20 v3 Algebraic Geometry
Abstract
We show that the splinter property ascends along regular residue field extensions, and along arbitrary regular maps in equal characteristic. We also study the splinter property of non-Noetherian rings, especially those related to ultrapowers, to the extent necessary for our main results.
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Cite
@article{arxiv.2203.09019,
title = {Permanence properties of splinters via ultrapower},
author = {Shiji Lyu},
journal= {arXiv preprint arXiv:2203.09019},
year = {2022}
}
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9 pages