Towers, David and Ciloglu, Zekiye
(2021)
*Weak c-ideals of a Lie algebra.*
Turkish Journal of Mathematics, 45 (5).
pp. 1940-1948.
ISSN 1300-0098

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## Abstract

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.

Item Type:

Journal Article

Journal or Publication Title:

Turkish Journal of Mathematics

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600

Subjects:

?? weak c-idealfrattini ideallie algebrasnilpotentsolvablesupersolvablemathematics(all) ??

Departments:

ID Code:

171172

Deposited By:

Deposited On:

01 Jun 2022 15:00

Refereed?:

Yes

Published?:

Published

Last Modified:

07 May 2024 00:19