On $P$-soluble rings
HTML articles powered by AMS MathViewer
- by Jakob Levitzki
- Trans. Amer. Math. Soc. 77 (1954), 216-237
- DOI: https://doi.org/10.1090/S0002-9947-1954-0064020-8
- PDF | Request permission
References
- S. A. Amitsur, A general theory of radicals. I. Radicals in complete lattices, Amer. J. Math. 74 (1952), 774–786. MR 50563, DOI 10.2307/2372225
- Reinhold Baer, Radical ideals, Amer. J. Math. 65 (1943), 537–568. MR 9019, DOI 10.2307/2371865
- N. Jacobson, The radical and semi-simplicity for arbitrary rings, Amer. J. Math. 67 (1945), 300–320. MR 12271, DOI 10.2307/2371731
- N. Jacobson, Structure theory for algebraic algebras of bounded degree, Ann. of Math. (2) 46 (1945), 695–707. MR 14083, DOI 10.2307/1969205
- Irving Kaplansky, Rings with a polynomial identity, Bull. Amer. Math. Soc. 54 (1948), 575–580. MR 25451, DOI 10.1090/S0002-9904-1948-09049-8
- Irving Kaplansky, Topological representation of algebras. II, Trans. Amer. Math. Soc. 68 (1950), 62–75. MR 32612, DOI 10.1090/S0002-9947-1950-0032612-4
- Irving Kaplansky, The structure of certain operator algebras, Trans. Amer. Math. Soc. 70 (1951), 219–255. MR 42066, DOI 10.1090/S0002-9947-1951-0042066-0
- Jakob Levitzki, Über nilpotente Unterringe, Math. Ann. 105 (1931), no. 1, 620–627 (German). MR 1512728, DOI 10.1007/BF01455832
- J. Levitzki, A theorem on polynomial identities, Proc. Amer. Math. Soc. 1 (1950), 334–341. MR 35758, DOI 10.1090/S0002-9939-1950-0035758-5
- Jakob Levitzki, On the structure of algebraic algebras and related rings, Trans. Amer. Math. Soc. 74 (1953), 384–409. MR 53089, DOI 10.1090/S0002-9947-1953-0053089-1
- Alex Rosenberg, Subrings of simple rings with minimal ideals, Trans. Amer. Math. Soc. 73 (1952), 115–138. MR 49163, DOI 10.1090/S0002-9947-1952-0049163-5
- Oswald Wyler, Ueber einen Rangbegriff in der Theorie der Ringe, speziell der regulären Ringe, Compositio Math. 9 (1951), 193–208 (German). MR 45095
Bibliographic Information
- © Copyright 1954 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 77 (1954), 216-237
- MSC: Primary 09.1X
- DOI: https://doi.org/10.1090/S0002-9947-1954-0064020-8
- MathSciNet review: 0064020