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Lie algebras with a given lattice of ideals. (English) Zbl 0923.17009

The author gives a classification of the complex finite dimensional Lie algebras, which have their ideal lattice of length less than or equal to two. The procedure is to consider first the solvable case, then the semisimple case and finally the non-solvable, nonsemisimple case.

MSC:

17B05 Structure theory for Lie algebras and superalgebras
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