Big polynomial rings with imperfect coefficient fields
Commutative Algebra
2022-01-27 v2
Abstract
We previously showed that the inverse limit of standard-graded polynomial rings with perfect coefficient field is a polynomial ring, in an uncountable number of variables. In this paper, we show that the same result holds with arbitrary coefficient field. We also prove an analogous result for ultraproducts of polynomial rings.
Cite
@article{arxiv.1806.04208,
title = {Big polynomial rings with imperfect coefficient fields},
author = {Daniel Erman and Steven V Sam and Andrew Snowden},
journal= {arXiv preprint arXiv:1806.04208},
year = {2022}
}
Comments
20 pages