aleph_0-categorical Structures: Endomorphisms and Interpretations

Details aleph_0-categorical Structures: Endomorphisms and Interpretations aleph_0-categorical Structures: Endomorphisms and Interpretations

2009-07-16

arxiv.org/abs/0907.2925v1

Mathematics

Logic

15 pages

Scientific paper

We extend the Ahlbrandt--Ziegler analysis of interpretability in aleph_0-categorical structures by showing that existential interpretation is controlled by the monoid of self--embeddings and positive existential interpretation of structures without constant endomorphisms is controlled by the monoid of endomorphisms in the same way as general interpretability is controlled by the automorphism group.

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