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Final published version
Licence: CC BY: Creative Commons Attribution 4.0 International License
Research output: Contribution to Journal/Magazine › Journal article › peer-review
| <mark>Journal publication date</mark> | 16/09/2021 |
|---|---|
| <mark>Journal</mark> | Turkish Journal of Mathematics |
| Issue number | 5 |
| Volume | 45 |
| Number of pages | 9 |
| Pages (from-to) | 1940-1948 |
| Publication Status | Published |
| <mark>Original language</mark> | English |
A subalgebra B of a Lie algebra L is called a weak c-ideal of L if there is a subideal C of L such that L= B+C and B∩C ≤ BL where BL is the largest ideal of L contained in B. This is analogous to the concept of weakly c-normal subgroups, which has been studied by a number of authors. We obtain some properties of weak c-ideals and use them to give some characterisations of solvable and supersolvable Lie algebras. We also note that one-dimensional weak c-ideals are c-ideals.