Projective modules over polynomial rings

Shizuo ENDO

doi:10.2969/jmsj/01530339

Shizuo ENDO

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JOURNAL FREE ACCESS

1963 Volume 15 Issue 3 Pages 339-352

DOI https://doi.org/10.2969/jmsj/01530339

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Published: 1963 Received: April 20, 1963 Available on J-STAGE: September 26, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 26, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Keio University

Right :
1) Keiô University

Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) H. Bass, Torsion-free and projective modules, Trans. Amer. Math. Soc., 102 (1962), 319-327.
2) H. Bass and S. Schanuel, The homotopy theory of projective modules, Bull. Amer. Math. Soc., 68 (1962), 425-428.
3) H. Cartan and S. Eilenberg, Homological algebra, Princeton Univ. Press, 1956.
4) D. Lissner, Matrices over polynomial rings, Trans. Amer. Math. Soc., 98 (1961), 285-305.
5) M. Nagata, Local rings, Interscience Publ., New York, 1962.
6) J. P. Serre, Faisceaux algébrique cohérents, Ann. of Math., 61 (1955), 197-278.
7) J. P. Serre, Modules projectifs et espaces fibrés à fibre vectorielle, Séminaire Dubreil-Pisot, t. 11, 1957-1958, n°23.
8) J. P. Serre, Sur les modules projectifs, Séminaire Dubreil-Pisot, t. 14, 1960-1961, n° 2.
9) C. S. Seshadri, Triviality of vector bundles over the affine space K², Proc. Nat. Acad. Sci. U.S.A., 44 (1958), 456-458.
10) C. S. Seshadri, Algebraic vector bundles over the product of an affine curve and an affine line, Proc. Amer. Math. Soc., 10 (1959), 670-673.

Right : [1] H. Bass, Torsion-free and projective modules, Trans. Amer. Math. Soc., 102 (1962), 319-327.
[2] H. Bass and S. Schanuel, The homotopy theory of projective modules, Bull. Amer. Math. Soc., 68 (1962), 425-428.
[3] H. Cartan and S. Eilenberg, Homological algebra, Princeton Univ. Press, 1956.
[4] D. Lissner, Matrices over polynomial rings, Trans. Amer. Math. Soc., 98 (1961), 285-305.
[5] M. Nagata, Local rings, Interscience Publ., New York, 1962.
[6] J. P. Serre, Faisceaux algébrique cohérents, Ann. of Math., 61 (1955), 197-278.
[7] J. P. Serre, Modules projectifs et espaces fibrés à fibre vectorielle, Séminaire Dubreil-Pisot, t. 11, 1957-1958, n°23.
[8] J. P. Serre, Sur les modules projectifs, Séminaire Dubreil-Pisot, t. 14, 1960-1961, n°2.
[9] C. S. Seshadri, Triviality of vector bundles over the affine space K², Proc. Nat. Acad. Sci. U. S. A., 44 (1958), 456-458.
[10] C. S. Seshadri, Algebraic vector bundles over the product of an affine curve and an affine line, Proc. Amer. Math. Soc., 10 (1959), 670-673.

Date of correction: September 26, 2006 Reason for correction: - Correction: PDF FILE Details: -

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