Restricted Lie algebras in which every restricted subalgebra is an ideal

We characterize restricted Lie algebras over perfect fields all of whose restricted subalgebras are ideals.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2009-09, Vol.137 (9), p.2817-2823
Main Author: SICILIANO, SALVATORE
Format: Article
Language:English
Subjects:
Algebra
Exact sciences and technology
General mathematics
General, history and biography
Group theory
Linear algebra
Mathematical theorems
Mathematics
Nonassociative rings and algebras
Polynomials
Sciences and techniques of general use
Subalgebras
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Description
Summary:We characterize restricted Lie algebras over perfect fields all of whose restricted subalgebras are ideals.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-09-09780-9