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Preprint Number 2098

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2098. Vince Guingona, Miriam Parnes, Lynn Scow
Products of Classes of Finite Structures

Submission date: 15 November 2021


We study the preservation of certain properties under products of classes of finite structures. In particular, we examine age indivisibility, indivisibility, definable self-similarity, the amalgamation property, and the disjoint n-amalgamation property. We explore how each of these properties interact with the wreath product, direct product, and free superposition of classes of structures. Additionally, we consider the classes of theories which admit configurations indexed by these products.

Mathematics Subject Classification: 03C52, 03C45, 03E02

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Full text arXiv 2111.08120: pdf, ps.

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