In 1992, Fountain and Lewin showed that any proper ideal of an endomorphism monoid of a finite independence algebra is generated by idempotents. Here the ranks and idempotent ranks of these ideals are determined. In particular, it is shown that when the algebra has dimension greater than or equal to three the idempotent rank equals the rank.
|Number of pages||29|
|Journal||Proceedings of the Royal Society of Edinburgh: Section A Mathematics|
|Publication status||Published - 2007|