On semi-hereditary rings

Shizuo ENDO

doi:10.2969/jmsj/01320109

Shizuo ENDO

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JOURNAL FREE ACCESS

1961 Volume 13 Issue 2 Pages 109-119

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

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Published: 1961 Received: June 18, 1960 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: 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.

Date of correction: August 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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