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Unimodular Minimal Structures

1992; Wiley; Volume: s2-46; Issue: 3 Linguagem: Romeno

10.1112/jlms/s2-46.3.385

1469-7750

Ehud Hrushovski,

Computability, Logic, AI Algorithms

Journal of the London Mathematical SocietyVolume s2-46, Issue 3 p. 385-396 Notes and Papers Unimodular Minimal Structures Ehud Hrushovski, Ehud Hrushovski Department of Mathematics, MIT 2-277, Cambridge, MA 02139, USA Department of Mathematics, The Hebrew University, Jerusalem, IsraelSearch for more papers by this author Ehud Hrushovski, Ehud Hrushovski Department of Mathematics, MIT 2-277, Cambridge, MA 02139, USA Department of Mathematics, The Hebrew University, Jerusalem, IsraelSearch for more papers by this author First published: December 1992 https://doi.org/10.1112/jlms/s2-46.3.385Citations: 13 AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Abstract 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 fi: U → V is everywhere ki to-l, then k1 = k2,. 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 ℵ0-categorical stable theories. Citing Literature Volumes2-46, Issue3December 1992Pages 385-396 RelatedInformation