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- W2555891427 abstract "A subalgebra H of a finite dimensional Lie algebra L is said to be a SCAP-subalgebra if there is a chief series 0 = L 0 ⊂ L 1 ⊂... ⊂ L t = L of L such that for every i = 1, 2,..., t, we have H + L i = H + L i-1 or H ∩ L i = H ∩ L i-1. This is analogous to the concept of SCAP-subgroup, which has been studied by a number of authors. In this article, we investigate the connection between the structure of a Lie algebra and its SCAP-subalgebras and give some sufficient conditions for a Lie algebra to be solvable or supersolvable." @default.
- W2555891427 created "2016-11-30" @default.
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- W2555891427 date "2016-11-16" @default.
- W2555891427 modified "2023-10-10" @default.
- W2555891427 title "SCAP-subalgebras of Lie algebras" @default.
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- W2555891427 doi "https://doi.org/10.1007/s10587-016-0317-3" @default.
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