Locally solvable algebra

An algebra for which any finitely-generated subalgebra is solvable (cf. Solvable group). It is convenient to represent a locally solvable algebra as the union of an increasing chain of solvable subalgebras. The class of locally solvable algebras is closed with respect to transition to subalgebras and taking homomorphic images.

#### References[edit]

[1] |  N. Jacobson, "Lie algebras" , Interscience (1962) ((also: Dover, reprint, 1979))

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