On the Theory of Radicals in a Ring

Masayoshi NAGATA

doi:10.2969/jmsj/00320330

Masayoshi NAGATA

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1951 Volume 3 Issue 2 Pages 330-344

DOI https://doi.org/10.2969/jmsj/00320330

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Published: 1951 Received: July 12, 1950 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: Right : 1. G. Azumaya, On generalized semi-primary rings and Krull-Remak-Schmidt's theorem, Jap. J. Math. vol. 19 (1948) pp. 525-547.
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10. J. Levitzki, On the radical of a ring, Bull. Amer. Math. Soc. vol. 49 (1943) pp. 462-466.
11. J. Levitzki, On three problems concerning nil-rings, Bull. Amer. Math. Soc. vol. 51 (1945) pp. 913-919.
12. N. H. McCoy, Prime ideals in general rings, Amer. J. Math. vol. 71 (1949) pp. 833-833.
13. T. Nakayama, Uber Einfache distributive Systeme unendlicher Range, Proc. Imp. Acad. Tokyo vol. 20 (1944) pp. 61-66.
14. T. Nakayama, Note on irreducible ring, to appear in Proc. Jap. Acad..
15. T. Nakayama and G. Azumaya, On irreducible rings, Ann. Math. vol. 48 (1947) pp. 949-965.
16. S. Perlis, A characterization of radical of an algebra, Bull. Amer. Math Soc. vol. 48 (1942) pp. 128-132.

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