Some Remarks on Local Rings
- 1 October 1953
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 6, 53-58
- https://doi.org/10.1017/s0027763000016974
Abstract
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]Keywords
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