On ϕ-ideals and the structure of Lie algebras
Keyword(s):
This paper aims to study the concept of [Formula: see text]-ideals of a finite-dimensional Lie algebra which is analogous to the concept of [Formula: see text]-ideal and [Formula: see text]-normal subgroup. We compile some basic properties of [Formula: see text]-ideals and consider the influence of this concept on the structure of a finite-dimensional Lie algebra, especially its solvability and supersolvability. We also show that the counterpart of some results for [Formula: see text]-ideals of Lie algebras and [Formula: see text]-normal subgroups are not valid here.
1976 ◽
Vol 28
(2)
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pp. 420-428
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2007 ◽
Vol 5
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pp. 195-200
2016 ◽
Vol 2016
(716)
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2007 ◽
Vol 17
(03)
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pp. 527-555
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2019 ◽
Vol 18
(12)
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pp. 1950233
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2019 ◽
Vol 53
(supl)
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pp. 45-86
1969 ◽
Vol 21
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pp. 1432-1454
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