Wedderburn's theorem, weakly normal rings, and the semigroup of ring-classes

Tadasi NAKAYAMA

doi:10.2969/jmsj/00520154

Tadasi NAKAYAMA

Author information

JOURNAL FREE ACCESS

1953 Volume 5 Issue 2 Pages 154-170

DOI https://doi.org/10.2969/jmsj/00520154

Details

Published: 1953 Received: February 02, 1953 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) G. Azumaya, On maximally central algebras, Nagoya Math. J., 2 (1951), 119-150.
2) G. Azumaya-T. Nakayama, On absolutely uni-serial algebras, Jap. J. Math., 19 (1948), 263-273.
3) J. Dieudonné, La théorie de Galois des anneaux simples et semi-simples, Comment. Math. Helv., 21 (1948), 154-184.
4) N. Jacobson, The radical and semi-simplicity for arbitray rings, Amer. J. Math,, 67 (1945), 300-320.
5) T. Nakayama, Commuter systems in a ring with radical, Duke Math. J., 16 (1949) 331-337.
6) T. Nakayama, Generalized Galois theory for rings with minimum condition, Amer. J. Math., 73 (1951), 1-12.
7) T. Nakayama, Automorphisms of simple, complete primitive, and directly indecomposable rings, Ann. Math., 55 (1952) 538-551.
8) T. Nakayama, Note on double-modules over arbitrary rings, Amer. J. Math., 74 (1952), 645-655.
9) T. Nakayama, Derivation and cohomology in simple and other rings, I, Duke Math. J., 19 (1952), 51-63.
10) T. Nakayama, Galois theory of simple rings, Trans. Amer. Math. Soc. 73 (1952), 276-292.

Right : [1] G. Azumaya, On maximally central algebras, Nagoya Math. J., 2 (1951), 119-150.
[2] G. Azumaya-T. Nakayama, On absolutely uni-serial algebras, Jap. J. Math., 19 (1948), 263-273.
[3] J. Dieudonné, La théorie de Galois des anneaux simples et semi-simples, Comment. Math. Helv., 21 (1948), 154-184.
[4] N. Jacobson, The radical and semi-simplicity for arbitray rings, Amer. J. Math,, 67 (1945), 300-320.
[5] T. Nakayama, Commuter systems in a ring with radical, Duke Math. J., 16 (1949) 331-337.
[6] T. Nakayama, Generalized Galois theory for rings with minimum condition, Amer. J. Math., 73 (1951), 1-12.
[7] T. Nakayama, Automorphisms of simple, complete primitive, and directly indecomposable rings, Ann. Math., 55 (1952) 538-551.
[8] T. Nakayama, Note on double-modules over arbitrary rings, Amer. J. Math., 74 (1952), 645-655.
[9] T. Nakayama, Derivation and cohomology in simple and other rings, I, Duke Math. J., 19 (1952), 51-63.
[10] T. Nakayama, Galois theory of simple rings, Trans. Amer. Math. Soc. 73 (1952), 276-292.

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

Corresponding author

Correction information

Register with J-STAGE for free!