The search for trivial types
type: Item
instance of: scholarly article
title: The search for trivial types
zbMATH Open document ID: 0948.03035
author: Tracey McGrail
published in: Illinois Journal of Mathematics
publication date: 2000-11-14T00:00:00Z
review text: This is a contribution to the finer analysis of types in differentially closed fields of characteristic \(0\) in the spirit of Hrushovski-Sokolovic. The author basically considers orthogonality. She gives a complete description of the strongly minimal sets defined by an equation of the form \(\delta y = f(y)\), where \(f\) is a rational polynomial over the constant field, a consequence of which (Marker) is that orthogonality is not definable over a differentially closed field. She also generalizes a criterion of Rosenlicht for orthogonality of types over an ordinary differential field.
reviewed by: Luc Bélair
Mathematics Subject Classification ID: 03C60
Mathematics Subject Classification ID: 12H05
Mathematics Subject Classification ID: 12L12
zbMATH DE Number: 1448991
zbMATH Keywords: differentially closed fields
zbMATH Keywords: strongly minimal sets
zbMATH Keywords: equation
zbMATH Keywords: orthogonality
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1448991