Geodesic
Lie Ideals in Associative Algebras
Canadian mathematical bulletin, Tome 27 (1984) no. 1, pp. 10-15

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DOI

It is shown that in a certain extensive class of algebras one can associate with each Lie ideal a corresponding associative ideal which facilitates the study of Lie ideals, especially for simple algebras. We apply this construction to obtain new, simpler proofs of some known results of Herstein [10] and others on the Lie structure of associative rings.
DOI : 10.4153/CMB-1984-002-0
Mots-clés : 16A68, 17B60 
Murphy, G. J. Lie Ideals in Associative Algebras. Canadian mathematical bulletin, Tome 27 (1984) no. 1, pp. 10-15. doi: 10.4153/CMB-1984-002-0
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     title = {Lie {Ideals} in {Associative} {Algebras}},
     journal = {Canadian mathematical bulletin},
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     year = {1984},
     volume = {27},
     number = {1},
     doi = {10.4153/CMB-1984-002-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-002-0/}
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