The Ideal Index of Subalgebras of a Finite Dimensional Lie Algebra |
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| Authors: | Leila Goudarzi |
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| Affiliation: | Department of Mathematics, Science and Research Branch , Islamic Azad University , Tehran , Iran |
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| Abstract: | D. A. Towers introduced the notion of ideal index of a maximal subalgebra of a Lie algebra, and used it to analyze the influence of maximal subalgebras on the structure of a finite dimensional Lie algebras. In this article, we generalize the ideal index from maximal subalgebras to all subalgebras, and obtain some new characterizations of solvable and supersolvable Lie algebras by the ideal indices of some certain subalgebras. |
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| Keywords: | c-ideal Ideal index Lie algebras Solvable Supersolvable |
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