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Products of idempotent endomorphisms of an independence algebra of finite rank

Published online by Cambridge University Press:  20 January 2009

John Fountain  and
Andrew Lewin
John Fountain
Affiliation:
Department of MathematicsUniversity of YorkHeslingtonYork Y01 5DD
Andrew Lewin
Affiliation:
Department of MathematicsUniversity of YorkHeslingtonYork Y01 5DD
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Abstract

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Products of idempotents are investigated in the endomorphism monoid of an algebra belonging to a class of algebras which includes finite sets and finite dimensional vector spaces as special cases. It is shown that every endomorphism which is not an automorphism is a product of idempotent endomorphisms. This provides a common generalisation of earlier results of Howie and Erdos for the cases when the algebra is a set or vector space respectively.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 35 , Issue 3 , October 1992 , pp. 493 - 500
Copyright
Copyright © Edinburgh Mathematical Society 1992

References

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