On injective modules

Hideki HARUI

doi:10.2969/jmsj/02140574

Hideki HARUI

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ジャーナルフリー

1969 年 21 巻 4 号 p. 574-583

DOI https://doi.org/10.2969/jmsj/02140574

詳細

Published: 1969 Received: 1969/01/23 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) H. Cartan and S. Eilenberg, Homological algebra, Princeton, Princeton Univ. Press, 1956.
2) P.M. Eakin, Jr., The converse to a Well Known Theorem on Noetherian rings, Math. Ann., 177 (1968), 278-282.
3) C. Faith and E. A. Walder, Direct sum representation of injective modules, J. Algebra, 5 (1967), 203-221.
4) R. N. Gupta, Self-injective quotient rings and injective quotient modules, Osaka J. Math., 5 (1968), 68-87.
5) H. Harui, Modules over (qa)-rings, J. Sci. Hiroshima Univ. Ser. A-I Math., 32 (1968), 247-257.
6) E. Matlis, Injective modules over Noetherian rings, Pacific J. Math., 8 (1958), 511-528.
7) B.L. Osofsky, On ring properties of injective hulls, Canad. Math. Bull., 7 (1964), 405-413.
8) A. Rosenberg and D. Zelinsky, Finiteness of the injective hull, Math. Z. Bd. 70, s. 372-380 (1959).
9) P. Vamos, The dual of the notion of “finitely generated”, J. London Math. Soc., 43 (1968), 643-646.

Right : [1] H. Cartan and S. Eilenberg, Homological algebra, Princeton, Princeton Univ. Press, 1956.
[2] P. M. Eakin, Jr., The converse to a Well Known Theorem on Noetherian rings, Math. Ann., 177 (1968), 278-282.
[3] C. Faith and E. A. Walder, Direct sum representation of injective modules, J. Algebra, 5 (1967), 203-221.
[4] R. N. Gupta, Self-injective quotient rings and injective quotient modules, Osaka J. Math., 5 (1968), 68-87.
[5] H. Harui, Modules over (qa)-rings, J. Sci. Hiroshima Univ. Ser. A-I Math., 32 (1968), 247-257.
[6] E. Matlis, Injective modules over Noetherian rings, Pacific J. Math., 8 (1958), 511-528.
[7] B. L. Osofsky, On ring properties of injective hulls, Canad. Math. Bull., 7 (1964), 405-413.
[8] A. Rosenberg and D. Zelinsky, Finiteness of the injective hull, Math. Z. Bd. 70, s. 372-380 (1959).
[9] P. Vamos, The dual of the notion of “finitely generated”, J. London Math. Soc., 43 (1968), 643-646.

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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