A generalization of the Wedderburn-Malcev theorem to infinite dimensional algebras
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- by Robert B. Reisel
- Proc. Amer. Math. Soc. 7 (1956), 493-499
- DOI: https://doi.org/10.1090/S0002-9939-1956-0078978-1
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References
- A. Adrian Albert, Structure of algebras, American Mathematical Society Colloquium Publications, Vol. XXIV, American Mathematical Society, Providence, R.I., 1961. Revised printing. MR 0123587 N. Bourbaki, Topologie générale, Chapitre I, Structures topologiques, Chapitre II, Structures uniformes, Actualités Scientiques et Industrielles, no. 1142, Paris, 1951.
- Charles W. Curtis, The structure of non-semisimple algebras, Duke Math. J. 21 (1954), 79–85. MR 61095
- N. Jacobson, The radical and semi-simplicity for arbitrary rings, Amer. J. Math. 67 (1945), 300–320. MR 12271, DOI 10.2307/2371731
- V. M. Kuročkin, The decomposition of algebras into a semi-direct sum of a radical and a semi-simple subalgebra, Moskov. Gos. Univ. Učenye Zapiski Matematika 148(4) (1951), 192–203 (Russian). MR 0049171
- A. Malcev, On the representation of an algebra as a direct sum of the radical and a semi-simple subalgebra, C. R. (Doklady) Acad. Sci. URSS (N.S.) 36 (1942), 42–45. MR 0007397
- A. Tihomirov, A generalization of Malcev’s theorem on cleft algebras, Bull. Acad. Sci. URSS. Sér. Math. [Izvestia Akad. Nauk SSSR] 11 (1947), 47–58 (Russian, with English summary). MR 0020549
- Daniel Zelinsky, Raising idempotents, Duke Math. J. 21 (1954), 315–322. MR 62107
Bibliographic Information
- © Copyright 1956 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 7 (1956), 493-499
- MSC: Primary 09.3X
- DOI: https://doi.org/10.1090/S0002-9939-1956-0078978-1
- MathSciNet review: 0078978