Abstract:Let M be a maximal subalgebra of a Lie algebra L and A/B a chief factor of L such that B ⊆ M and A ⊆ M . We call the factor algebra M ∩ A/B a c-section of M . All such c-sections are isomorphic, and this concept is related those of c-ideals and ideal index previously introduced by the author. Properties of c-sections are studied and some new characterizations of solvable Lie algebras are obtained.
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