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Idempotent generated endomorphisms of an independence algebra

Semigroup Forum, ISSN: 0037-1912, Vol: 67, Issue: 3, Page: 464-467
2003
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  • Citations
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Article Description

The aim of this note is to give a direct proof for the following result proved by Fountain and Lewin: Let A be an independence algebra of finite rank and let a be a singular endomorphism of A. Then a = e⋯e where e = e and rank(a) = rank(e).

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