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Weak c-ideals of a Lie algebra

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dc.creator Towers, David Anthony
dc.creator ÇİLOĞLU ŞAHİN, Zekiye
dc.date 2021-01-01T00:00:00Z
dc.date.accessioned 2021-12-03T11:46:20Z
dc.date.available 2021-12-03T11:46:20Z
dc.identifier a254c1b0-a533-4499-bdde-0bcd05b754b5
dc.identifier 10.3906/mat-2006-55
dc.identifier https://avesis.sdu.edu.tr/publication/details/a254c1b0-a533-4499-bdde-0bcd05b754b5/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/93841
dc.description 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 boolean AND C <= B-L where B-L 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.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title Weak c-ideals of a Lie algebra
dc.type info:eu-repo/semantics/article


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