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The Wedderburn-Mal’cev theorems in a locally finite setting. (English) Zbl 0326.16020


MSC:

16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras)
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References:

[1] A. A.Albert, Structure of algebras. Providence 1939. · Zbl 0023.19901
[2] C. W. Curtis, The structure of non-semisimple algebras. Duke Math. J.21, 79-85 (1954). · Zbl 0055.26402 · doi:10.1215/S0012-7094-54-02110-9
[3] N.Jacobson, Structure of rings. Providence 1956 (revised 1964). · Zbl 0073.02002
[4] A. I. Mal’cev, On the representation of an algebra as a direct sum of the radical and a semi-simple subalgebra. Dokl. Akad. Nauk. SSSR36, 42-45 (1942). · Zbl 0060.08004
[5] R. B. Reisel, A generalization of the Wedderburn-Mal’cev theorem to infinite-dimensional algebras. Proc. Amer. Math. Soc.7, 493-499 (1956). · Zbl 0071.03101 · doi:10.1090/S0002-9939-1956-0078978-1
[6] I. N. Stewart, Structure theorems for a class of locally finite Lie algebras. Proc. London Math. Soc. (3)24, 79-100 (1972). · Zbl 0225.17005 · doi:10.1112/plms/s3-24.1.79
[7] I. N. Stewart, Levi factors of infinite-dimensional Lie algebras. J. London Math. Soc. (2)5, 488 (1972). · Zbl 0249.17013 · doi:10.1112/jlms/s2-5.3.488
[8] I. N. Stewart, Conjugacy theorems for a class of locally finite Lie algebras. Compositio Math.30, 181-210 (1975). · Zbl 0303.17006
[9] D. Zelinsky, Raising idempotents. Duke Math. J.21, 315-322 (1954). · Zbl 0055.26204 · doi:10.1215/S0012-7094-54-02130-4
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