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Finding a field in a Zariski-like structure

Published 11 Feb 2015 in math.LO | (1502.03225v3)

Abstract: We show that if $\M$ is a Zariski-like structure (see \cite{lisuriart}) that does not interpret a non-classical group, and the canonical pregeometry obtained from the bounded closure operator (bcl) is non locally modular, then $\M$ interprets an algebraically closed field.

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