Mixed identities for oligomorphic automorphism groups

Manuel Bodirsky,Jakob Schneider,Andreas Thom

arxiv（2024）

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摘要

We study mixed identities for oligomorphic automorphism groups of countable relational structures. Our main result gives sufficient conditions for such a group to not admit a mixed identity without particular constants. We study numerous examples and prove in many cases that there cannot be a non-singular mixed identity.

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