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Affine Covers of Lie Geometries and the Amalgamation Property
Author(s) -
Chowdhury Ambar,
Hart Bradd,
Sokolović Željko
Publication year - 2002
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/s0024611502013783
Subject(s) - affine transformation , mathematics , property (philosophy) , cover (algebra) , class (philosophy) , pure mathematics , algebra over a field , computer science , artificial intelligence , mechanical engineering , philosophy , epistemology , engineering
Certain classes of smoothly approximable structures — the class of affine covers of Lie geometries — are shown to have the amalgamation property. In particular, this shows that any affine cover of a Lie geometry has the small index property. 2000 Mathematical Subject Classification : 03C45.
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