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Jacobson's
refinement of Engel's theorem for Leibniz algebras
Lindsey Bosko, Allison Hedges, John T. Hird, Nathaniel Schwartz and Kristen Stagg
Vol. 4 (2011), No. 3, 293–296
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Abstract |
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We develop Jacobson’s refinement of Engel’s Theorem for Leibniz algebras. We then note some consequences of the result. |
Keywords
Jacobson's refinement, Engel's Theorem, Leibniz algebras,
Lie algebras, nilpotent, bimodule
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Mathematical Subject Classification 2010
Primary: 17A32
Secondary: 17B30
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Milestones
Received: 6 June 2011
Accepted: 8 June 2011
Published: 13 March 2012
Communicated by Chi-Kwong Li
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Authors |
| Lindsey Bosko | |
| Department of Natural Sciences and
Mathematics West Liberty University West Liberty, WV 26074 United States |
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| Allison Hedges | |
| Department of Mathematics North Carolina State University Box 8205 Raleigh, NC 27695 United States |
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| John T. Hird | |
| Department of Mathematics North Carolina State University Box 8205 Raleigh, NC 27695 United States |
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| Nathaniel Schwartz | |
| Department of Mathematics North Carolina State University Box 8205 Raleigh, NC 27695 United States |
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| Kristen Stagg | |
| Department of Mathematics University of Texas at Tyler Tyler, TX 75799 United States |
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