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Some Remarks on Local Rings
Published online by Cambridge University Press: 22 January 2016
Extract
Previously C. Chevalley [1] proved the followings:
1. Let x1,…, Xn be algebraically independent elements over a field t which has infinitely many elements. Then :
a) If y is an element of [x1,…, xn] and if y is not in , then there exist elements y2…, yn of [x1,…, xn] such that [x1,…, xn] is integral over [y1, y2,…, yn]
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1953
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