Infinitely many reducts of homogeneous structures
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.
KeywordsHomogeneous structure Reduct Closed subgroup of automorphisms
Mathematics Subject Classification03C07 20B27
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