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On the base field change of P-rings and P-2 rings

Published online by Cambridge University Press:  22 January 2016

Hiroshi Tanimoto
Hiroshi Tanimoto*
Affiliation:
Department of Mathematics, Nagoya University, Nagoya 464, Japan
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One finds the following example in [3, (34, B)]:

Let k be a field of characteristic p and be n-variables over k. Then if p > 0 and [k : kp] = ∞, is an n-dimensional regular local ring but not a Nagata ring. In particular it is not an excellent ring.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 90 , June 1983 , pp. 77 - 83
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1983

References

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