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Factors of Fields

Published online by Cambridge University Press:  20 November 2018

James K. Deveney  and
Joe Yanik
James K. Deveney
Affiliation:
Virginia Commonwealth University, Richmond, VA 23284
Joe Yanik
Affiliation:
Division of Mathematical Sciences, Emporia State University, Emporia, Kansas 66801
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Abstract

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Let L be a finitely generated extension of a field k. L is a k-rational factor if there is a field extension K of k such that the total quotient ring of L ꕕk K is a rational (pure transcendental) extension of K. We present examples of non-rational rational factors and explicitly determine both factors.

Keywords

12F2014J26
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 1 , 01 March 1990 , pp. 79 - 83
Copyright
Copyright © Canadian Mathematical Society 1990

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