Galois theory for uni-serial rings

Gorô AZUMAYA

doi:10.2969/jmsj/00120130

Gorô AZUMAYA

Author information

JOURNAL FREE ACCESS

1949 Volume 1 Issue 2 Pages 130-146

DOI https://doi.org/10.2969/jmsj/00120130

Details

Published: 1949 Received: December 29, 1947 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: August 29, 2006 Reason for correction: - Correction: AUTHOR Details: Wrong : Goro AZUMAYA¹⁾
Right : Gorô AZUMAYA¹⁾

Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: 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).

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

Corresponding author

Correction information

Register with J-STAGE for free!