Work

On Computable Field Embeddings and Difference Closed Fields

Year: 2016

Type: article

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.

Source: Canadian Journal of Mathematics

DOI: 10.4153/cjm-2016-044-7

Authors: Matthew Harrison-Trainor, Alexander Melnikov, Russell Miller

Institutions: University of California, Berkeley, Massey University, Queens College, CUNY, The Graduate Center, CUNY, City University of New York

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2280805244

FWCI: 0.48

Cites: 16

Cited by: 4

Related to: 10