On automorphisms and derivations of simple rings with minimum conditions
HTML articles powered by AMS MathViewer
- by Andrzej Białynicki-Birula
- Trans. Amer. Math. Soc. 98 (1961), 468-484
- DOI: https://doi.org/10.1090/S0002-9947-1961-0122845-8
- PDF | Request permission
References
- S. A. Amitsur, Invariant submodules of simple rings, Proc. Amer. Math. Soc. 7 (1956), 987–989. MR 82482, DOI 10.1090/S0002-9939-1956-0082482-4
- Willard E. Baxter, Lie simplicity of a special class of associative rings, Proc. Amer. Math. Soc. 7 (1956), 855–863. MR 82481, DOI 10.1090/S0002-9939-1956-0082481-2 N. Bourbaki, Algèbre, Livre II, Chapitre 8, Paris, Hermann, 1958.
- Richard Brauer, On a theorem of H. Cartan, Bull. Amer. Math. Soc. 55 (1949), 619–620. MR 29891, DOI 10.1090/S0002-9904-1949-09264-9
- Henri Cartan, Théorie de Galois pour les corps non commutatifs, Ann. Sci. École Norm. Sup. (3) 64 (1947), 59–77 (French). MR 0023237
- Akira Hattori, On invariant subrings, Jpn. J. Math. 21 (1951), 121–129 (1952). MR 51818, DOI 10.4099/jjm1924.21.0_{1}21
- G. Hochschild, Double vector spaces over division rings, Amer. J. Math. 71 (1949), 443–460. MR 29889, DOI 10.2307/2372257
- G. Hochschild, Automorphisms of simple algebras, Trans. Amer. Math. Soc. 69 (1950), 292–301. MR 37834, DOI 10.1090/S0002-9947-1950-0037834-4
- Loo-Keng Hua, Some properties of a sfield, Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 533–537. MR 31471, DOI 10.1073/pnas.35.9.533
- Loo-Keng Hua, A note on the total matrix ring over a noncommutative field, Ann. Soc. Polon. Math. 25 (1952), 188–198 (1953). MR 0055320
- N. Jacobson, A note on division rings, Amer. J. Math. 69 (1947), 27–36. MR 20981, DOI 10.2307/2371651 —, Structure of rings, Amer. Math. Soc. Colloquium Publications, vol. 37, Providence, 1956.
- Friedrich Kasch, Invariante Untermoduln des Endomorphismenrings eines Vectorraums, Arch. Math. (Basel) 4 (1953), 182–190 (German). MR 56582, DOI 10.1007/BF01899515
- Tadasi Nakayama, Galois theory of simple rings, Trans. Amer. Math. Soc. 73 (1952), 276–292. MR 49875, DOI 10.1090/S0002-9947-1952-0049875-3
- Alex Rosenberg, The Cartan-Brauer-Hua theorem for matrix and local matrix rings, Proc. Amer. Math. Soc. 7 (1956), 891–898. MR 81889, DOI 10.1090/S0002-9939-1956-0081889-9
Bibliographic Information
- © Copyright 1961 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 98 (1961), 468-484
- MSC: Primary 16.60
- DOI: https://doi.org/10.1090/S0002-9947-1961-0122845-8
- MathSciNet review: 0122845