On two fundamental theorems for the concept of approximate roots

T. T. MOH

doi:10.2969/jmsj/03440637

T. T. MOH

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ジャーナルフリー

1982 年 34 巻 4 号 p. 637-652

DOI https://doi.org/10.2969/jmsj/03440637

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Published: 1982 Received: 1981/04/15 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1,2) S. S. Abhyankar and T. T. Moh, Newton-Puiseux expansion and Tschirnhausen transformation I and II, J. Reine Angew. Math., 260 (1973), 47-63 and 261 (1973), 29-54.
3) S. S. Abhyankar and T. T. Moh, Embedding of the line in the plane, J. Reine Angew. Math., 276 (1975), 148-166.
4) S. S. Abhyankar, On expansion techniques in algebraic geometry, Tata Institute, Bombay, 1977.
5) H. Hironaka, Idealistic exponents of singularity, Algebraic geometry (J. J. Sylvester Sympos.), 52-125, Johns Hopkins Univ. Press, Baltimore, Maryland, 1977.
6) M. Miyanishi, Curves on rational and irrational surfaces, Tata Institute, Bombay, 1978.
7) T. T. Moh, On the concept of approximate roots for algebra, J. Algebra, 65 (1980), 347-360.
8) T. T. Moh, On the Jacobian conjecture and the configuration of roots (preprint).

Right : [1,2] S. S. Abhyankar and T. T. Moh, Newton-Puiseux expansion and Tschirnhausen transformation I and II, J. Reine Angew. Math., 260 (1973), 47-63 and 261 (1973), 29-54.
[3] S. S. Abhyankar and T. T. Moh, Embedding of the line in the plane, J. Reine Angew. Math., 276 (1975), 148-166.
[4] S. S. Abhyankar, On expansion techniques in algebraic geometry, Tata Institute, Bombay, 1977.
[5] H. Hironaka, Idealistic exponents of singularity, Algebraic geometry (J. J. Sylvester Sympos.), 52-125, Johns Hopkins Univ. Press, Baltimore, Maryland, 1977.
[6] M. Miyanishi, Curves on rational and irrational surfaces, Tata Institute, Bombay, 1978.
[7] T. T. Moh, On the concept of approximate roots for algebra, J. Algebra, 65 (1980), 347-360.
[8] T. T. Moh, On the Jacobian conjecture and the configuration of roots (preprint).

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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