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Lattices of subalgebras of Leibniz algebras

By Donald W. Barnes

Abstract

I describe the lattice of subalgebras of a one-generator Leibniz algebra. Using this, I show that, apart from one special case, a lattice isomorphism between Leibniz algebras L, L' maps the Leibniz kernel of L to that of L'.Comment: 6 pages, 6 figure

Topics: Mathematics - Rings and Algebras, 17A32
Year: 2011
OAI identifier: oai:arXiv.org:1102.5464
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