Submission date: 25 September 2016

Abstract:

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.

Mathematics Subject Classification: 03C15

Keywords and phrases:

Full text arXiv 1609.07694: pdf, ps.