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Big polynomial rings with imperfect coefficient fields
- Source :
- Michigan Math. J. 70 (2021), 649-672
- Publication Year :
- 2018
-
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.<br />Comment: 20 pages
- Subjects :
- Mathematics - Commutative Algebra
13A02, 13D02
Subjects
Details
- Database :
- arXiv
- Journal :
- Michigan Math. J. 70 (2021), 649-672
- Publication Type :
- Report
- Accession number :
- edsarx.1806.04208
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1307/mmj/1603353740