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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JOURNAL FREE ACCESS

1982 Volume 34 Issue 4 Pages 637-652

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

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Published: 1982 Received: April 15, 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 : 1,2) 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).

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

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