Locally modular geometries in homogeneous structures

Mathematical Logic Quarterly 51 (3):291 (2005)
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Abstract

We show that if M is a strongly minimal large homogeneous structure in a countable similarity type and the pregeometry of M is locally modular but not modular, then the pregeometry is affine over a division ring

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10.1002/malq.200410031

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Quasiminimal structures, groups and Zariski-like geometries.Tapani Hyttinen & Kaisa Kangas - 2016 - Annals of Pure and Applied Logic 167 (6):457-505.

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