訂正日: 2006/09/26訂正理由: -訂正箇所: 引用文献情報訂正内容: Wrong : 1) H. Bass, Projective modules over algebras, Ann. of Math., 73 (1961), 532-542. 2) H. Cartan and S. Eilenberg, Homological algebra, Princeton University Press, 1956. 3) M. Chadeyras, Sur les anneaux semi-principaux ou de Bezout, C.R. Acad. Sci., 251 (1960), 2116-2117. 4) O. Goldman, Determinants in projective modules, Nagoya Math. J., 15 (1961), 27-36. 5) A. Grothendieck and J. Dieudonné, Éléments de géométrie algébrique, Pub. Math. I.H.E.S., N° 4 (1960). 6) Y. Hinohara, Note on finitely generated projective modules, Proc. Japan Acad., 37 (1961), 478-481. 7) Y. Hinohara, Projective modules over semilocal rings, Tohoku Math. J., 14 (1962), 205-211. 8) I. Kaplansky, Projective modules, Ann. of Math., 68 (1958), 372-377. 9) I. Kaplansky, Homological dimension of rings and modules, Univ. of Chicago, 1959, (mimeographed notes). 10) J. P. Serre, Modules projectifs et espaces fibrés à fibre vectorielle, Séminaire P. Dubreil, no. 23, (1958).
Right : [1] H. Bass, Projective modules over algebras, Ann. of Math., 73 (1961), 532-542. [2] H. Cartan and S. Eilenberg, Homological algebra, Princeton University Press, 1956. [3] M. Chadeyras, Sur les anneaux semi-principaux ou de Bezout, C. R. Acad. Sci., 251 (1960), 2116-2117. [4] O. Goldman, Determinants in projective modules, Nagoya Math. J., 15 (1961), 27-36. [5] A. Grothendieck and J. Dieudonné, Éléments de géométrie algébrique, Pub. Math. I. H. E. S., N° 4 (1960). [6] Y. Hinohara, Note on finitely generated projective modules, Proc. Japan Acad., 37 (1961), 478-481. [7] Y. Hinohara, Projective modules over semilocal rings, Tôhoku Math. J., 14 (1962), 205-211. [8] I. Kaplansky, Projective modules, Ann. of Math., 68 (1958), 372-377. [9] I. Kaplansky, Homological dimension of rings and modules, Univ. of Chicago, 1959, (mimeographed notes). [10] J. P. Serre, Modules projectifs et espaces fibrés à fibre vectorielle, Séminaire P. Dubreil, no. 23, (1958).