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2018 Extending UFDs to PIDs without adding units
Keith A. Kearnes
J. Commut. Algebra 10(3): 347-358 (2018). DOI: 10.1216/JCA-2018-10-3-347

Abstract

If $U$ is a UFD, then there is a PID $P$ containing $U$ that has the same unit group as $U$. Moreover, $P$ can be taken so that its field of fractions is a pure transcendental extension of the field of fractions of $U$ with trans-cendence degree at most $|U|$.

Citation

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Keith A. Kearnes. "Extending UFDs to PIDs without adding units." J. Commut. Algebra 10 (3) 347 - 358, 2018. https://doi.org/10.1216/JCA-2018-10-3-347

Information

Published: 2018
First available in Project Euclid: 9 November 2018

zbMATH: 06976320
MathSciNet: MR3874657
Digital Object Identifier: 10.1216/JCA-2018-10-3-347

Subjects:
Primary: 13F10, 13F15, 16U60, 52A01

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.10 • No. 3 • 2018
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