Skip to main content
SpringerLink
Log in

Idempotent generated endomorphisms of an independence algebra

  • Short Note
  • Published:
Semigroup Forum Aims and scope Submit manuscript

The aim of this note is to give a direct proof for the followingresult proved by Fountain and Lewin: Let A be anindependence algebra of finite rank and let a be a singularendomorphism of A. Then a = e1 ... en where e 2i = eiand rank(a) = rank(ei).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. Araújo (2002) ArticleTitleOn idempotent generated semigroups Semigroup Forum 65 138–140 Occurrence Handle1903561 Occurrence Handle1005.20045 Occurrence Handle10.1007/s002330010089

    Article  MathSciNet  MATH  Google Scholar 

  2. J. Fountain A. Lewin (1992) ArticleTitleProducts of idempotent endomorphismsof an independence algebra of finite rank Proc. EdinburghMath. Soc. 35 493–500 Occurrence Handle1187010 Occurrence Handle0794.20066 Occurrence Handle10.1017/S0013091500005769

    Article  MathSciNet  MATH  Google Scholar 

  3. V. A. R. Gould (1995) ArticleTitleIndependence algebras Algebra Universalis 33 327–329 Occurrence Handle10.1007/BF01190702

    Article  Google Scholar 

  4. Oxley, J.G., Matroid Theory, Oxford University Press,1992

Download references

Author information

Authors and Affiliations

  1. Universidade Aberta, R. Escola Politécnica, 147, 1269-001, Lisboa, Portugal

    João Araújo

  2. Centro de Álgebra, Universidade de Lisboa, 1649-003, Lisboa, Portugal

    João Araújo

Authors
  1. João Araújo
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to João Araújo.

Additional information

Communicated by László Márki

Rights and permissions

Reprints and permissions

About this article

Cite this article

Araújo, J. Idempotent generated endomorphisms of an independence algebra. Semigroup Forum 67, 464–467 (2003). https://doi.org/10.1007/s00233-002-0020-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00233-002-0020-6

Keywords

Search

Navigation