Idempotent rank in endomorphism monoids of finite independence algebras-Reference-Cited by-同舟云学术

Idempotent rank in endomorphism monoids of finite independence algebras

Published:2007 Issue:2 Volume:137 Page:303-331
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Gray R.

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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