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Proceedings of the American Mathematical Society

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On nilpotent and solvable Malcev algebras


Author: Ernest L. Stitzinger
Journal: Proc. Amer. Math. Soc. 92 (1984), 157-163
MSC: Primary 17D10
DOI: https://doi.org/10.1090/S0002-9939-1984-0754693-0
MathSciNet review: 754693
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Abstract: Solvable and nilpotent Malcev algebras are investigated in the spirit of extending results from Lie algebras. The first section presents a proof of Engel's theorem with the Jacobson refinement and some consequences. The second part deals with conjugacy of Cartan subalgebras and consequences.


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DOI: https://doi.org/10.1090/S0002-9939-1984-0754693-0
Article copyright: © Copyright 1984 American Mathematical Society