Subnormal subalgebras of Leibniz algebras

Details Subnormal subalgebras of Leibniz algebras Subnormal subalgebras of Leibniz algebras

2008-11-06

arxiv.org/abs/0811.1060v1

Mathematics

Rings and Algebras

2 pages

Scientific paper

Zassenhaus has proved that if U is a subnormal subalgebra of a finite-dimensional Lie algebra L and V is a finite-dimensional irreducible L-module, then all U-module composition factors of V are isomorphic. Schenkman has proved that if U is a subnormal subalgebra of a finite-dimensional Lie algebra L, then the nilpotent residual of U is an ideal of L. These useful results generalise to Leibniz algebras.

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