Work

Big Polynomial Rings with Imperfect Coefficient Fields

Year: 2020

Type: article

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.

Source: The Michigan Mathematical Journal

DOI: 10.1307/mmj/1603353740

Authors: Daniel Erman, Steven V Sam, Andrew Snowden

Institutions: University of Wisconsin–Madison, University of Michigan, University of California San Diego

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2808576644

FWCI: 2.386

Cites: 7

Cited by: 9

Related to: 20