New classes of test polynomials of polynomial algebras
type: Item
instance of: scholarly article
title: New classes of test polynomials of polynomial algebras
zbMATH Open document ID: 0946.13017
DOI: 10.1007/BF02878990
author: Jie-Tai Yu
author: Keqin Feng
published in: Science in China. Series A
publication date: 2000-10-18T00:00:00Z
review text: A polynomial \(p(X)\) in the polynomial algebra \(K[X]=K[x_1,\ldots,x_n]\) over a field \(K\) is called a test polynomial if any endomorphism fixing \(p(X)\) is an automorphism. The main purpose of the paper under review is to construct new classes of test polynomials and to give in explicit form all automorphisms fixing these test polynomials. In particular, the authors solve some problems raised in the recent paper by the reviewer and one of the authors [\textit{V. Drensky} and \textit{J.-T. Yu}, J. Algebra 207, No. 2, 491-510 (1998)].
reviewed by: Vesselin Drensky
Mathematics Subject Classification ID: 13F20
Mathematics Subject Classification ID: 14R15
Mathematics Subject Classification ID: 13A50
Mathematics Subject Classification ID: 13B10
zbMATH DE Number: 1394422
zbMATH Keywords: polynomial algebras
zbMATH Keywords: automorphisms
zbMATH Keywords: test polynomials
zbMATH Keywords: endomorphism
zbMATH Keywords: Jacobian problem
MaRDI profile type: Publication
cites work: Some combinatorial questions about polynomial mappings
full work available at URL: https://doi.org/10.1007/bf02878990
OpenAlex ID: W2072877898
description: scientific article; zbMATH DE number 1394422