Some results on weakly normal ring extensions

Hiroshi YANAGIHARA

doi:10.2969/jmsj/03540649

Hiroshi YANAGIHARA

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JOURNAL FREE ACCESS

1983 Volume 35 Issue 4 Pages 649-661

DOI https://doi.org/10.2969/jmsj/03540649

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Published: 1983 Received: August 12, 1982 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) E. Bombieri, Seminormalità a singolarità ordinarie, Symp. Math., 11(1973), 205-210.
2) N. Bourbaki, Albèbre commutative, Chap. 1, 2, Hermann, Paris, 1961.
3) P. M. Cohn, Algebra, Vol. 2, John Wiley & Son, Chichester, New York, Brisbane, Tronto, 1979.
4) S. Greco and C. Traverso, On seminormal schemes, Compositio Math., 40(1980), 325-365.
5) E. Hamann, On the R-invariance of Rx), J. Algebra, 35 (1975), 1-17.
6) S. Itoh, On weak normality and symmetric algebras, to appear in J. Algebra.
7) J. V. Leahy and M. A. Vitulli, Seminormal rings and weakly normal varieties, Nagoya Math. J., 82 (1981), 27-56.
8) M. Manaresi, Some properties of weakly normal varieties, Nagoya Math. J., 77 (1980), 61-74.
9) H. Matsumura, Commutative algebra, Benjamin Inc., New York, 1970.
10) R. G. Swan, On seminormality, J. Algebra, 67(1980), 210-229.
11) G. Tamone, Su una generalizzazióne della nozióne di incollamento, Atti Accad. Naz. Lincei, Ser. 8, 65(1980), 107-112.
12) C. Traverso, Seminormality and Picard group, Ann. Scuola Norm. Sup. Pisa, 24 (1970), 585-595.
13) H. Yanagihara, On glueing of prime ideals, Hiroshima Math. J., 10 (1980), 351-363.

Right : [1] E. Bombieri, Seminormalità e singolarità ordinarie, Symp. Math., 11 (1973), 205-210.
[2] N. Bourbaki, Albèbre commutative, Chap. 1, 2, Hermann, Paris, 1961.
[3] P. M. Cohn, Algebra, Vol. 2, John Wiley & Son, Chichester, New York, Brisbane, Tronto, 1979.
[4] S. Greco and C. Traverso, On seminormal schemes, Compositio Math., 40 (1980), 325-365.
[5] E. Hamann, On the R-invariance of R[x], J. Algebra, 35 (1975), 1-17.
[6] S. Itoh, On weak normality and symmetric algebras, to appear in J. Algebra.
[7] J. V. Leahy and M. A. Vitulli, Seminormal rings and weakly normal varieties, Nagoya Math. J., 82 (1981), 27-56.
[8] M. Manaresi, Some properties of weakly normal varieties, Nagoya Math. J., 77 (1980), 61-74.
[9] H. Matsumura, Commutative algebra, Benjamin Inc., New York, 1970.
[10] R. G. Swan, On seminormality, J. Algebra, 67 (1980), 210-229.
[11] G. Tamone, Su una generalizzazióne della nozióne di incollamento, Atti Accad. Naz. Lincei, Ser. 8, 65 (1980), 107-112.
[12] C. Traverso, Seminormality and Picard group, Ann. Scuola Norm. Sup. Pisa, 24 (1970), 585-595.
[13] H. Yanagihara, On glueing of prime ideals, Hiroshima Math. J., 10 (1980), 351-363.

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

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