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arXiv:1609.07694 [math.LO]AbstractReferencesReviewsResources

Infinitely many reducts of homogeneous structures

Bertalan Bodor, Peter J. Cameron, Csaba Szabó

Published 2016-09-25Version 1

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.

Comments: Submitted to Algebra Universalis
Categories: math.LO, math.GR
Subjects: 03C15
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