Galois theory for uni-serial rings
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フリー
1949 年 1 巻 2 号 p. 130-146
詳細
- Published: 1949 Received: 1947/12/29 Available on J-STAGE: 2006/08/29 Accepted: - Advance online publication: - Revised: -
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訂正情報
訂正日: 2006/08/29 訂正理由: - 訂正箇所: 著者情報 訂正内容: Wrong : Goro AZUMAYA1)
Right : Gorô AZUMAYA1)
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). K. Asano, Über verallgemeinerte Abelsche Gruppen mit hyperkomplexem operatoren-ring und ihre Anwendungen, Jap. J. Math., 15 (1939).
2). G. Azumaya, New foundation for the theory of simple rings, forthcoming in Proc. Imp. Acad. Tokyo.
3). G. Azumaya, On almost symmetric algebras, Jap. J. Math. 19 (1948).
4). G. Azumaya, On generalized semi-primary rings and Krull-Remak-Schmidt's theorem, Jap. J. Math. 19 (1947).
5). G. Azumaya and T. Nakayama, On absolutely uni-serial algebras, Jap. J. Math. 19 (1948).
6). N. Jacobson, The fundamental theorem of Galois theory for quasi-fields, Ann. Math. 41 (1940).
7). G. Köthe, Verallgemeinerte Abelsche Gruppe mit hyperkomplexem Operatorring, Math. Zeitschr. 39 (1934).
8). A. Kurosh, Direct decompositions of simple rings, Recueil Math. 53 (1942).
9). T. Nakayama, Über die Klassifikation halblinearer Transformationen, Proc. Phys. Math. Soc. Japan 19 (1937).
10). T. Nakayama, On Frobeniusean algebras, I, Ann. Math. 40 (1939); Proc. Phys., II, Ann. Math. 42 (1941).
11). T. Nakayama, Note on uni-serial and generalized uni-serial rings, Proc. Imp. Acad. Tokyo 16 (1940).
12). T. Nakayama, Normal basis of a quasi-field, Proc. Imp. Acad. Tokyo, 16 (1940).
13). T. Nakayama and G. Azumaya, On irreducible rings, Ann. Math. 48 (1947).
14). E. Noether, Nichtkommutative Algebra, Math. Zeitschr. 39 (1933).
Right : 1. K. Asano, Über verallgemeinerte Abelsche Gruppen mit hyperkomplexem operatorenring und ihre Anwendungen, Jap. J. Math. 15 (1939).
2. G. Azumaya, New foundation for the theory of simple rings, forthcoming in Proc. Imp. Acad. Tokyo.
3. G. Azumaya, On almost symmetric algebras, Jap. J. Math. 19 (1948).
4. G. Azumaya, On generalized semi-primary rings and Krull-Remak-Schmidt's theorem, Jap. J. Math. 19 (1947).
5. G. Azumaya and T. Nakayama, On absolutely uni-serial algebras, Jap. J. Math. 19 (1948).
6. N. Jacobson, The fundamental theorem of Galois theory for quasi-fields, Ann. Math. 41 (1940).
7. G. Köthe, Verallgemeinerte Abelsche Gruppe mit hyperkomplexem Operatorring, Math. Zeitschr. 39 (1934).
8. A. Kurosh, Direct decompositions of simple rings, Recueil Math. 53 (1942).
9. T. Nakayama, Über die Klassifikation halblinearer Transformationen, Proc. Phys. Math. Soc. Japan 19 (1937).
10. T. Nakayama, On Frobeniusean algebras, I, Ann. Math. 40 (1939); ibid., II, Ann. Math. 42 (1941).
11. T. Nakayama, Note on uni-serial and generalized uni-serial rings, Proc. Imp. Acad. Tokyo 16 (1940).
12. T. Nakayama, Normal basis of a quasi-field, Proc. Imp. Acad. Tokyo, 16 (1940).
13. T. Nakayama and G. Azumaya, On irreducible rings, Ann. Math. 48 (1947).
14. E. Noether, Nichtkommutative Algebra, Math. Zeitschr. 39 (1933).
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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