On Appelgate-Onishi's lemmas
type: Item
instance of: scholarly article
title: On Appelgate-Onishi's lemmas
zbMATH Open document ID: 0661.12009
DOI: 10.1016/0022-4049(88)90069-2
author: Andrzej Nowicki
author: Yoshikazu Nakai
published in: Journal of Pure and Applied Algebra
publication date: 1988-01-01T00:00:00Z
review text: The paper contains straightforward proofs of two lemmas stated by \textit{H. Appelgate} and \textit{H. Onishi} [J. Pure Appl. Algebra 37, 215--227 (1985; Zbl 0571.13005)] in their proof of a particular case of the Jacobian conjecture. The lemmas concern properties of two polynomials \(f,g\in K[x,y]\) (\(K\) is a field of characteristic zero) satisfying the Jacobian conjecture assumption, i.e. the Jacobian of \((f,g)\) is a non-zero constant.
Mathematics Subject Classification ID: 12E05
Mathematics Subject Classification ID: 13F20
zbMATH DE Number: 4079572
zbMATH Keywords: Jacobian conjecture
reviewed by: Tadeusz Krasiński
MaRDI profile type: Publication
full work available at URL: 0022-4049(88)90069-2
OpenAlex ID: W2082557364
Wikidata QID: Q124839754
cites work: Lectures on expansion techniques in algebraic geometry. With notes by Balwant Singh
cites work: The Jacobian conjecture in two variables
cites work: A generalization of Magnus' theorem
cites work: On the Jacobian conjecture in two variables
description: scientific article; zbMATH DE number 4079572