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Harrison-Trainor, Matthew; Melnikov, Alexander; Miller, Russell
On computable field embeddings and difference closed fields
We investigate when a computable automorphism of a computable field can be effectively extended to a computable automorphism of its (computable) algebraic closure. We then apply our results and techniques to study effective embeddings of computable difference fields into computable difference closed fields.

Keywords:computable algebra, algebraic field, difference field, extension of automorphism
Categories:03D45, 03C57, 12Y05

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