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On Malcev algebras in which all subideals are ideals

Published online by Cambridge University Press:  14 November 2011

Alberto Elduque
Alberto Elduque
Affiliation:
Departamento de Algebra, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain†
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Synopsis

Malcev algebras in which the relation of being an ideal is transitive are studied as well as those Malcev algebras in which every subalgebra satisfies that condition. These algebras are closely related to those in which right multiplication by any element is semisimple and they are used to determine Malcev algebras with a relatively complemented lattice of subalgebras.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 101 , Issue 3-4 , 1985 , pp. 353 - 363
Copyright
Copyright © Royal Society of Edinburgh 1985

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