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Higher amalgamation in \\(ACFA^+\\)
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Paper
Higher amalgamation in \\(ACFA^+\\)
2026
Overview
We show two results on higher amalgamation in the theory \\(ACFA^+\\), the model companion of the theory of difference fields with an additive character (added as a continuous logic predicate) on the fixed field in characteristic 0. On one hand, we show that the non-trivial condition for 3-amalgamation established in a preceding paper is not sufficient for 4-amalgamation. On the other hand, we show that when working over substructures whose \\(L_\\)-reduct is a model of \\(ACFA\\), \\(n\\)-amalgamation holds for all \\(n 3\\).
Publisher
Cornell University Library, arXiv.org
Subject
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