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Lattice isomorphisms of Malcev algebras

Published online by Cambridge University Press:  14 November 2011

Alberto Elduque
Alberto Elduque
Affiliation:
Departamento de Matematica Aplicada, E.T.S.I.I., Universidad de Zaragoza, 50015 Zaragoza, Spain
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Synopsis

The lattice of subalgebras of a Malcev algebra determines to a great extent the structureof the algebra. It is shown that conditions such as nilpotency, solvability or semisimplicity are almost characterised by means of conditions on this lattice. This enables us to study the relationship between Malcev algebras with isomorphic lattices of subalgebras.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 109 , Issue 1-2 , 1988 , pp. 37 - 50
Copyright
Copyright © Royal Society of Edinburgh 1988

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