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Leibniz algebras are certain generalizations of Lie algebras. Motivated bythe concept of subinvariance in group theory, Schenkman studied properties ofsubinvariant subalgebras of a Lie algebra. In this paper we define subinvariantsubalgebras of Leibniz algebras and study their properties. It is shown thatthe signature results on subinvariance in Lie algebras have analogs for Leibnizalgebras.

Subinvariance in Leibniz Algebras