Title: Inner Ideals Of The Real Five-Dimensional Lie Algebras With Two-Dimensional Derived L' That Is Not In The Center But It Has A Common Element
Authors: Haneen Fadhil Abdulabbas
Volume: 8
Issue: 5
Pages: 17-23
Publication Date: 2024/05/28
Abstract:
Inner ideal of the five-dimensional non-commutative Lie alge- bras over the real fields with two-dimensional derived were classified. It is proved that one, two, three and four-dimensional inner ideals are exist in every five-dimensional Lie algebra. It is also proved that five-dimensional Lie algebras contain inner ideals which are neither ideals nor sub-algebras.