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Idempotent endomorphisms of an independence algebra of finite rank*

Published online by Cambridge University Press:  20 January 2009

Gracinda M. S. Gomes  and
John M. Howie
Gracinda M. S. Gomes
Affiliation:
Departamento de MatematicaFaculdade de CienciasUniversidade de Lisboa1700 Lisboa, Portugal
John M. Howie
Affiliation:
Mathematical InstituteUniversity of St AndrewsNorth HaughSt Andrews, Fife, KY16 9SS, Scotland
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Abstract

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The result of Ballantine [1] to the effect that a singular matrix A is a product of k idempotent matrices if and only if the rank of I – A does not exceed k times the nullity of A is generalized to endomorphisms of a class of independence algebras.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 38 , Issue 1 , February 1995 , pp. 107 - 116
Copyright
Copyright © Edinburgh Mathematical Society 1995

References

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