2016/09/30 by Bertalan Bodor, Peter J. Cameron, Csaba Szabó · 4 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Countable set #Field (mathematics) #Homogeneous #Homotopy and Cohomology in Algebraic Topology #Order (exchange) #Second-countable space #Space (punctuation) #Vector field #Vector space #math.GR #math.LO #msc:03C15
paper · pdf · doi:10.1007/s00012-018-0526-8
published in Algebra Universalis 79(2) (Birkhäuser)
openalex created_date 2016/10/07 · openalex publication_date 2018/05/09 · arxiv created 2021/04/04 · arxiv updated 2021/04/06 · openalex updated_date 2026/08/05
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. Our construction over the 2-element field is related to the Reed--Muller codes.