On semisimple extensions and separable extensions over non commutative rings

Kazuhiko HIRATA; Kozo SUGANO

doi:10.2969/jmsj/01840360

Kazuhiko HIRATA, Kozo SUGANO

著者情報

ジャーナルフリー

1966 年 18 巻 4 号 p. 360-373

DOI https://doi.org/10.2969/jmsj/01840360

詳細

Published: 1966 Received: 1966/06/11 Available on J-STAGE: 2006/09/26 Accepted: - Advance online publication: - Revised: -
訂正情報
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) M. Auslander and O. Goldman, Maximal orders, Trans. Amer. Math. Soc., 97 (1960), 1-24.
2) M. Auslander and O. Goldman, The Brauer group of a commutative ring, Trans. Amer. Math. Soc., 97 (1960), 367-409.
3) H. Cartan and S. Eilenberg, Homoiogical algebra, Princeton, 1956.
4) S. Eilenberg and T. Nakayama, On the dimension of modules and algebras II, Nagoya Math. J., 9 (1955), 1-16.
5) A. Hattori, Semisimple algebras over a commutative ring, J. Math. Soc. Japan, 15 (1963), 404-419.
6) A Hattori, Simple algebras over a commutative ring, to appear.
7) K. Hirata, On Galois extension of non commutative rings, to appear.
8) G. Hochschild, Note on relative homological algebra, Trans. Amer. Math. Soc., 82 (1956), 246-269.
9) G. Hochschild, Note on relative homological dimension, Nagoya Math. J., 15 (1958), 89-94.
10) T. Kanzaki, On commutor ring and Galois theory of separable algebras, Osaka J. Math., 1 (1964), 103-115.
11) T. Kanzaki, On Galois algebra over a commutative ring, Osaka J. Math., 2 (1965), 309-317.
12) T. Kanzaki, On Galois extension of rings, Nagoya Math. J., 27 (1966), 43-49.
13) F. Kasch, Dualitätseigenschaften von Frobenius-Erweiterungen, Math. Z., 77 (1961), 219-227.
14) B. Müller, Quasi-Frobenius-Erweiterungen, Math. Z., 85 (1964), 345-368.
15) T. Onodera, Some studies on projective Frobenius extensions, J. Fac. Sci. Hok-kaido Univ. Ser. I, 18 (1964), 89-107.
16) Y. Takeuchi, On Galois extension over commutative rings, Osaka J. Math., 2 (1965), 137-145.

Right : [1] M. Auslander and O. Goldman, Maximal orders, Trans. Amer. Math. Soc., 97 (1960), 1-24.
[2] M. Auslander and O. Goldman, The Brauer group of a commutative ring, Trans. Amer. Math. Soc., 97 (1960), 367-409.
[3] H. Cartan and S. Eilenberg, Homological algebra, Princeton, 1956.
[4] S. Eilenberg and T. Nakayama, On the dimension of modules and algebras II, Nagoya Math. J., 9 (1955), 1-16.
[5] A. Hattori, Semisimple algebras over a commutative ring, J. Math. Soc. Japan, 15 (1963), 404-419.
[6] A Hattori, Simple algebras over a commutative ring, to appear.
[7] K. Hirata, On Galois extension of non commutative rings, to appear.
[8] G. Hochschild, Note on relative homological algebra, Trans. Amer. Math. Soc., 82 (1956), 246-269.
[9] G. Hochschild, Note on relative homological dimension, Nagoya Math. J., 15 (1958), 89-94.
[10] T. Kanzaki, On commutor ring and Galois theory of separable algebras, Osaka J. Math., 1 (1964), 103-115.
[11] T. Kanzaki, On Galois algebra over a commutative ring, Osaka J. Math., 2 (1965), 309-317.
[12] T. Kanzaki, On Galois extension of rings, Nagoya Math. J., 27 (1966), 43-49.
[13] F. Kasch, Dualitätseigenschaften von Frobenius-Erweiterungen, Math. Z., 77 (1961), 219-227.
[14] B. Müller, Quasi-Frobenius-Erweiterungen, Math. Z., 85 (1964), 345-368.
[15] T. Onodera, Some studies on projective Frobenius extensions, J. Fac. Sci. Hokkaido Univ. Ser. I, 18 (1964), 89-107.
[16] Y. Takeuchi, On Galois extension over commutative rings, Osaka J. Math., 2 (1965), 137-145.

訂正日: 2006/09/26 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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