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Preprint Number 1100

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1100. Bertalan Bodor, Peter J. Cameron, Csaba Szabó
Infinitely many reducts of homogeneous structures
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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.


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