Idempotent rank in endomorphism monoids of finite independence algebras

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Abstract

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.
Original languageEnglish
Pages (from-to)303-331
Number of pages29
JournalProceedings of the Royal Society of Edinburgh: Section A Mathematics
Volume137
Issue number2
DOIs
Publication statusPublished - 2007

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