| dc.creator |
Towers, David A. |
|
| dc.creator |
Ciloglu, Zekiye |
|
| dc.date |
2023-01-01T00:00:00Z |
|
| dc.date.accessioned |
2025-02-25T10:38:23Z |
|
| dc.date.available |
2025-02-25T10:38:23Z |
|
| dc.identifier |
cad1882b-2b10-4e3e-b073-ed4046cb9c32 |
|
| dc.identifier |
10.1080/00927872.2023.2215340 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/cad1882b-2b10-4e3e-b073-ed4046cb9c32/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/101370 |
|
| dc.description |
A subalgebra B of a Leibniz algebra L is called a weak c-ideal of L if there is a subideal C of L such that (Formula presented.) and (Formula presented.) where (Formula presented.) is the largest ideal of L contained in B. This is analogous to the concept of a weakly c-normal subgroup, which has been studied by a number of authors. We obtain some properties of weak c-ideals and use them to give some characterizations of solvable and supersolvable Leibniz algebras generalizing previous results for Lie algebras. We note that one-dimensional weak c-ideals are c-ideals, and show that a result of Turner classifying Leibniz algebras in which every one-dimensional subalgebra is a c-ideal is false for general Leibniz algebras, but holds for symmetric ones. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
Weak c-ideals of Leibniz algebras |
|
| dc.type |
info:eu-repo/semantics/article |
|