Independence algebras, basis algebras and semigroups of quotients

Research output: Contribution to journalArticlepeer-review

Abstract

We show that if A is a stable basis algebra satisfying the distributivity condition, then B is a reduct of an independence algebra A having the same rank. If this rank is finite, then the endomorphism monoid of B is a left order in the endomorphism monoid of A.

Original languageEnglish
Pages (from-to)697-729
Number of pages33
JournalProceedings of the Edinburgh Mathematical Society
Volume53
Issue number3
DOIs
Publication statusPublished - Oct 2010

Keywords

  • semigroup
  • independence
  • basis
  • exchange property
  • endomorphism monoid
  • quotients
  • WEAK EXCHANGE PROPERTIES
  • RELATIVELY FREE ALGEBRAS
  • IDEMPOTENT ENDOMORPHISMS
  • PRODUCTS
  • MATRICES
  • RANK

Cite this