Locally modular geometries in homogeneous structures | Zendy

Hyttinen Tapani | Zendy

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Locally modular geometries in homogeneous structures

Author(s) -

Hyttinen Tapani

Publication year - 2005

Publication title -

mathematical logic quarterly

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.473

H-Index - 28

eISSN - 1521-3870

pISSN - 0942-5616

DOI - 10.1002/malq.200410031

Subject(s) - modular design , mathematics , homogeneous , countable set , affine transformation , division (mathematics) , pure mathematics , ring (chemistry) , type (biology) , division ring , similarity (geometry) , discrete mathematics , combinatorics , arithmetic , image (mathematics) , computer science , artificial intelligence , programming language , ecology , biology , chemistry , organic chemistry

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. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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