Abstract:Keywords: Δ 0 α categorical structure, structure that is not relatively Δ 0 α categorical, field.In [3,6,7], it was proved that for each computable ordinal α, there is a structure that is Δ 0 α categorical but not relatively Δ 0 α categorical. The original examples were not familiar algebraic kinds of structures. In [11], it was shown that for α = 1, there are further examples in several familiar classes of structures, including rings and 2-step nilpotent groups. Similar example for all computable successor or… Show more
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