Faithfully flat ring maps are not descendable
Commutative Algebra
2024-11-05 v2 Category Theory
Abstract
We construct a faithfully flat algebra over the infinite polynomial ring on an algebraically closed field that is not descendable.
Keywords
Cite
@article{arxiv.2405.08124,
title = {Faithfully flat ring maps are not descendable},
author = {Ivan Zelich},
journal= {arXiv preprint arXiv:2405.08124},
year = {2024}
}
Comments
In the previous version, there was a significant error in Corollary 2.10. The new proof makes use of infinite Ramsey theory, and highlights the importance of large cardinals