Mathematics – Group Theory
Scientific paper
2011-01-29
Semigroup Forum Vol. 67 (2003) 464-467
Mathematics
Group Theory
4 pages
Scientific paper
10.1007/s00233-002-0020-6
The aim of this note is to give a direct proof for the following result
proved by Fountain and Lewin: {\em Let $\alg$ be an independence algebra of
finite rank and let $a$ be a singular endomorphism of $\alg $. Then $a=e_1...
e_n$ where $e^2_i=e_i$ and $rank(a)=rank(e_i)$.}
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