Finding a field in a Zariski-like structure

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.

arXiv commentarXiv admin note: text overlap with arXiv:1502.01039