Monatshefte für Mathematik

, Volume 151, Issue 1, pp 1–10 | Cite as

Relative Ranks in the Monoid of Endomorphisms of an Independence Algebra

  • J. Araújo
  • J. D. Mitchell
Article

Abstract.

The relative ranks of the monoid of endomorphisms of a strong independence algebra of infinite rank modulo two distinguished subsets are calculated. These subsets are the group of automorphisms and the endomorphisms α satisfying α2 = α. The extra generators are characterised in each case.

2000 Mathematics Subject Classification: 20M20, 08A35 
Key words: Independence algebras, endomorphisms, relative rank 

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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  • J. Araújo
    • 1
  • J. D. Mitchell
    • 2
  1. 1.Universidade AbertaPortugal
  2. 2.University of St AndrewsScotland

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