Idempotent rank in endomorphism monoids of finite independence algebras

Robert Gray

doi:10.1017/s0308210505000636

Idempotent rank in endomorphism monoids of finite independence algebras

Robert Gray

Algebra, Number Theory, Logic, and Representations (ANTLR)

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

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 language	English
Pages (from-to)	303-331
Number of pages	29
Journal	Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Volume	137
Issue number	2
DOIs	https://doi.org/10.1017/s0308210505000636
Publication status	Published - 2007

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10.1017/s0308210505000636

Cite this

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title = "Idempotent rank in endomorphism monoids of finite independence algebras",

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.",

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AB - 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.

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DO - 10.1017/s0308210505000636

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JO - Proceedings of the Royal Society of Edinburgh: Section A Mathematics

JF - Proceedings of the Royal Society of Edinburgh: Section A Mathematics

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