Homology groups and double complexes for arbitrary fields

S. A. AMITSUR

doi:10.2969/jmsj/01410001

S. A. AMITSUR

著者情報

ジャーナルフリー

1962 年 14 巻 1 号 p. 1-25

DOI https://doi.org/10.2969/jmsj/01410001

詳細

Published: 1962 Received: 1961/04/03 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) S. A. Amitsur, Simple algebras and cohomology groups of arbitrary fields, Trans. Amer. Math. Soc., 90 (1959), 73-112.
2) N. Bourbaki, Elements de mathematique, Livre II Algebra ch. 8 Herman, 1958.
3) H. Cartan and S. Eilenberg, Homological algebra, Princeton Univ. Press, 1956.
4) G. Hochschild and J. P. Serre, Cohomology of group extensions, Trans. Amer. Math. Soc., 57 (1953), 591-603.
5) A. Rosenberg and D. Zelinsky, On Amitsur's complex, Trans. Amer. Math. Soc., 97 (1960), 327-356.
6) T. Nakayama, Note on the fundamental exact sequences in homology and cohomology for non normal subgroups, Proc. Japan Acad., 10 (1958), 661-663.
7) T. Nakayama, Fundamental exact sequences in (co)-homology for for non normal subgroups, Nagoya Math. J., 18 (1961), 63-92.
8) A. Hattori, On fundamental exact sequences, J. Math. Soc. Japan, 12 (1960), 65-80.

Right : [1] S. A. Amitsur, Simple algebras and cohomology groups of arbitrary fields, Trans. Amer. Math. Soc., 90 (1959), 73-112.
[2] N. Bourbaki, Elements de mathematique, Livre II Algebra ch. 8 Herman, 1958.
[3] H. Cartan and S. Eilenberg, Homological algebra, Princeton Univ. Press, 1956.
[4] G. Hochschild and J. P. Serre, Cohomology of group extensions, Trans. Amer. Math. Soc., 57 (1953), 591-603.
[5] A. Rosenberg and D. Zelinsky, On Amitsur's complex, Trans. Amer. Math. Soc., 97 (1960), 327-356.
[6] T. Nakayama, Note on the fundamental exact sequences in homology and cohomology for non normal subgroups, Proc. Japan Acad., 10 (1958), 661-663.
[7] T. Nakayama, Fundamental exact sequences in (co)-homology for for non normal subgroups, Nagoya Math. J., 18 (1961), 63-92.
[8] A. Hattori, On fundamental exact sequences, J. Math. Soc. Japan, 12 (1960), 65-80.

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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