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arXiv · 1506.02791

On computable field embeddings and difference closed fields

Matthew Harrison-Trainor·Russell Miller·Alexander Melnikov
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Abstract

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.

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Matthew Harrison-Trainor, Russell Miller, Alexander Melnikov. 2015-06-09. On computable field embeddings and difference closed fields. https://doi.org/10.4153/cjm-2016-044-7

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