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August 2021 Big Polynomial Rings with Imperfect Coefficient Fields
Daniel Erman, Steven V Sam, Andrew Snowden
Michigan Math. J. 70(3): 649-672 (August 2021). DOI: 10.1307/mmj/1603353740

Abstract

We previously showed that the inverse limit of standard-graded polynomial rings with perfect (or semiperfect) coefficient field is a polynomial ring in an uncountable number of variables. In this paper, we show that the result holds with no hypothesis on the coefficient field. We also prove an analogous result for ultraproducts of polynomial rings.

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Daniel Erman. Steven V Sam. Andrew Snowden. "Big Polynomial Rings with Imperfect Coefficient Fields." Michigan Math. J. 70 (3) 649 - 672, August 2021. https://doi.org/10.1307/mmj/1603353740

Information

Received: 10 May 2019; Revised: 1 July 2020; Published: August 2021
First available in Project Euclid: 22 October 2020

Digital Object Identifier: 10.1307/mmj/1603353740

Subjects:
Primary: 13A02, 13D02

Rights: Copyright © 2021 The University of Michigan

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Vol.70 • No. 3 • August 2021
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