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CM-triviality and generic structures

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Abstract.

 We show that any relational generic structure whose theory has finite closure and amalgamation over closed sets is stable CM-trivial with weak elimination of imaginaries.

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Received: 21 December 2001 / Published online: 5 November 2002

Mathematics Subject Classification (2000): 03C45

Key words or phrases: CM-triviality – Generic structures – Stability

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Yoneda, I. CM-triviality and generic structures. Arch. Math. Logic 42, 423–433 (2003). https://doi.org/10.1007/s00153-002-0148-9

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  • DOI: https://doi.org/10.1007/s00153-002-0148-9

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