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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A subalgebra condition in Lie-admissible algebras


Author: Hyo Chul Myung
Journal: Proc. Amer. Math. Soc. 59 (1976), 6-8
MSC: Primary 17A20
DOI: https://doi.org/10.1090/S0002-9939-1976-0422361-6
MathSciNet review: 0422361
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Abstract: Let $ A$ be a finite-dimensional, flexible, Lie-admissible algebra over a field $ \Phi $ of characteristic $ \ne 2$. Let $ S$ be a subalgebra of $ {A^ - }$ and $ H$ be a Cartan subalgebra of $ S$. It is shown that $ S$ is a subalgebra of $ A$ if and only if $ HH \subseteq S$.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0422361-6
Keywords: Lie-admissible algebra, Cartan subalgebra
Article copyright: © Copyright 1976 American Mathematical Society