On semi-hereditary rings

Shizuo ENDO

doi:10.2969/jmsj/01320109

Shizuo ENDO

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ジャーナルフリー

1961 年 13 巻 2 号 p. 109-119

DOI https://doi.org/10.2969/jmsj/01320109

詳細

Published: 1961 Received: 1960/06/18 Available on J-STAGE: 2006/08/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/08/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) Y. Akizuki, The theory of local rings, Lecture notes at Univ. of Chicago, 1958.
2) H. Cartan and S. Eilenberg, Homological algebra, Princeton Univ. Press, 1956.
3) S. Endo, Note on P.P. rings, Nagoya Math. J., 17 (1960), 167-170.
4) M. Harada, Note on the dimension of modules and algebras, J. Inst. Poly. Osaka City Univ., 7 (1956), 17-27.
5) M. Harada, A note on Hattori's theorems, J. Inst. Poly. Osaka City Univ., 9 (1958), 43-45.
6) A. Hattori, On Prüfer rings, J. Math. Soc. Japan, 9 (1957), 381-385.
7) A. Hattori, A foundation of the torsion theory over general rings, Nagoya Math, J., 17 (1960), 147-158.
8) I. Kaplansky, Modules over Dedekind rings and valuation rings, Trans. Amer. Math. Soc., 72 (1952), 327-340.
9) W. Krull, Idealtheorie, Berlin, 1935.
10) J. v. Neumann, On regular rings, Proc. Nat. Acad. Sci. U.S.A., 22 (1936), 707-713.

Right : [1] Y. Akizuki, The theory of local rings, Lecture notes at Univ. of Chicago, 1958.
[2] H. Cartan and S. Eilenberg, Homological algebra, Princeton Univ. Press, 1956.
[3] S. Endo, Note on P.P. rings, Nagoya Math. J., 17 (1960), 167-170.
[4] M. Harada, Note on the dimension of modules and algebras, J. Inst. Poly. Osaka City Univ., 7 (1956), 17-27.
[5] M. Harada, A note on Hattori's theorems, J. Inst. Poly. Osaka City Univ., 9 (1958), 43-45.
[6] A. Hattori, On Prüfer rings, J. Math. Soc. Japan, 9 (1957), 381-385.
[7] A. Hattori, A foundation of the torsion theory over general rings, Nagoya Math. J., 17 (1960), 147-158.
[8] I. Kaplansky, Modules over Dedekind rings and valuation rings, Trans. Amer. Math. Soc., 72 (1952), 327-340.
[9] W. Krull, Idealtheorie, Berlin, 1935.
[10] J. v. Neumann, On regular rings, Proc. Nat. Acad. Sci. U. S. A., 22 (1936), 707-713.

訂正日: 2006/08/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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