Relative ranks in the monoid of endomorphisms of an independence algebra

J. Araujo, J. D. Mitchell

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

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 alpha satisfying alpha(2) = alpha. The extra generators are characterised in each case.

Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalMonatshefte für Mathematik
Volume151
Issue number1
DOIs
Publication statusPublished - May 2007

Keywords

  • independence algebras
  • endomorphisms
  • relative rank
  • TRANSFORMATION SEMIGROUPS
  • IDEMPOTENT ENDOMORPHISMS
  • GENERATORS
  • PRODUCTS
  • SETS

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