Abstract
A reduct of a first-order structure is another structure on the same set with perhaps fewer definable predicates. We consider reducts of the complex field which are proper (not essentially the whole field) but nontrivial in a sense to be made precise in the paper. Our main result lists seven kinds of reducts. The list is complete in the sense that every reduct is a finite cover of one of these. We also investigate when two items on our list can be the same, in a couple of natural senses.
Citation
James Loveys. "Linear Reducts of the Complex Field." Notre Dame J. Formal Logic 45 (3) 161 - 190, 2004. https://doi.org/10.1305/ndjfl/1099080210
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