Infinitely many reducts of homogeneous structures

Bertalan Bodor, Peter Jephson Cameron, Csaba Szabó

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


This work is dedicated to Tamás E. Schmidt.

It is shown that the countably infinite dimensional pointed vector space (the vector space equipped with a constant) over a finite field has infinitely many first order definable reducts. This implies that the countable homogeneous Boolean-algebra has infinitely many reducts.
Original languageEnglish
Article number43
Number of pages10
JournalAlgebra Universalis
Early online date9 May 2018
Publication statusPublished - Jun 2018


  • Homogenous structure
  • Reduct
  • Closed subgroup of automosphisms


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