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Lattices of Subalgebras of Leibniz Algebras |
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| Authors: | Donald W Barnes |
| Institution: | 1. School of Mathematics and Statistics , University of Sydney , Sydney , Australia donwb@iprimus.com.au |
| Abstract: | I describe the lattice ?(L) of subalgebras of a one-generator Leibniz algebra L. Using this, I show that, apart from one special case, a lattice isomorphism φ: ?(L) → ?(L′) between Leibniz algebras L, L′ maps the Leibniz kernel Leib(L) of L to Leib(L′). |
| Keywords: | Lattices Leibniz algebras |