Highly Influenced

# UNIMODULAR MINIMAL STRUCTURES

@inproceedings{Hrushovski1992UNIMODULARMS, title={UNIMODULAR MINIMAL STRUCTURES}, author={Ehud Hrushovski}, year={1992} }

- Published 1992

A strongly minimal structure D is called unimodular if any two finite-to-one maps with the same domain and range have the same degree; that is if/4: (/-»• V is everywhere fc4-to-l, then kx = kc,. THEOREM. Unimodular strongly minimal structures are locally modular. This extends Zil'ber's theorem on locally finite strongly minimal sets, Urbanik's theorem on free algebras with the Steinitz property, and applies also to minimal types in N0-categorical stable theories.