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Smoothness of Noetherian rings

Published online by Cambridge University Press:  22 January 2016

Hiroshi Tanimoto
Hiroshi Tanimoto*
Affiliation:
Department of Mathematics Faculty of Science, Nagoya University, Chikusa-ku, Nagoya 464, Japan
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In [16] we studied the following problems which had been asked by H. Matsumura (cf. [11]):

  • (I) What is the difference between smoothness and J-smoothness? In particular, concerning the characterization of smoothness,

  • (II) When is a ring A[X1 …, Xn]/a smooth over A?

In this paper, according to these problems, we will study J-smoothness further when rings are noetherian as in [16].

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 95 , September 1984 , pp. 163 - 179
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1984

References

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