On Kunz's conjecture

Tetsuzo KIMURA; Hiroshi NIITSUMA

doi:10.2969/jmsj/03420371

Tetsuzo KIMURA, Hiroshi NIITSUMA

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1982 Volume 34 Issue 2 Pages 371-378

DOI https://doi.org/10.2969/jmsj/03420371

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Published: 1982 Received: May 20, 1981 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) N. Bourbaki, Algèbre, Chap. 5, Hermann, Paris, 1959.
2) N. Bourbaki, Algèbre commutative, Chap. 1, 2, Hermann, Paris, 1961.
3) E. Kunz, Die Primidealteiler der differenten in allgemeinen Ringen, J. Reine Angew. Math., 204 (1960), 165-182.
4) E. Kunz, On noetherian rings of characteristic p, Amer. J. Math., 98 (1976), 999-1013.
5) T. Kimura and H. Niitsuma, Regular local ring of characteristic p and p-basis, J. Math. Soc. Japan, 32 (1980), 363-371.
6) H. Matsumura, Commutative Algbra (Second Edition), Benjamin, New York, 1980.
7) M. Nagata, Local Rings, Interscience Tracts in Pure and Applied Math., No. 13, 1962.
8) S. Suzuki, Some results on Hausdorff m-adic modules and m-adic differentials, J. Math. Kyoto Univ., 2-2 (1963), 157-182.
9) S. Yuan, Differentiably simple rings of prime characteristic, Duke Math. J, 31 (1964), 623-630.
10) S. Yuan, Inseparable Galois theory of exponent one, Trans. Amer. Math. Soc., 149 (1970), 163-170.

Right : [1] N. Bourbaki, Algèbre, Chap. 5, Hermann, Paris, 1959.
[2] N. Bourbaki, Algèbre commutative, Chap. 1, 2, Hermann, Paris, 1961.
[3] E. Kunz, Die Primidealteiler der differenten in allgemeinen Ringen, J. Reine Angew. Math., 204 (1960), 165-182.
[4] E. Kunz, On noetherian rings of characteristic p, Amer. J. Math., 98 (1976), 999-1013.
[5] T. Kimura and H. Niitsuma, Regular local ring of characteristic p and p-basis, J. Math. Soc. Japan, 32 (1980), 363-371.
[6] H. Matsumura, Commutative Algbra (Second Edition), Benjamin, New York, 1980.
[7] M. Nagata, Local Rings, Interscience Tracts in Pure and Applied Math., No. 13, 1962.
[8] S. Suzuki, Some results on Hausdorff m-adic modules and m-adic differentials, J. Math. Kyoto Univ., 2-2 (1963), 157-182.
[9] S. Yuan, Differentiably simple rings of prime characteristic, Duke Math. J, 31 (1964), 623-630.
[10] S. Yuan, Inseparable Galois theory of exponent one, Trans. Amer. Math. Soc., 149 (1970), 163-170.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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