Quasi-linearity of cyclic monomial automorphisms
type: Item
instance of: scholarly article
title: Quasi-linearity of cyclic monomial automorphisms
zbMATH Open document ID: 0572.12008
DOI: 10.1016/0021-8693(85)90118-8
author: Mowaffaq Hajja
published in: Journal of Algebra
publication date: 1985-01-01T00:00:00Z
review text: Let \(K_ 1\), \(K_ 2\) be purely transcendental extensions of a fixed field k with finite transcendency degrees, and let L be the quotient field of the tensor product of \(K_ 1\) and \(K_ 2\) over k. The author studies the k-automorphism of L induced by two given k-automorphisms of \(K_ 1\) resp. \(K_ 2\), which are assumed to be of finite order. This study enables him to show that every cyclic monomial automorphism is linearizable.
Mathematics Subject Classification ID: 12F20
zbMATH DE Number: 3912499
zbMATH Keywords: purely transcendental extensions
zbMATH Keywords: finite transcendency degrees
zbMATH Keywords: monomial automorphism
reviewed by: Władysław Narkiewicz
MaRDI profile type: Publication
full work available at URL: 0021-8693(85)90118-8
OpenAlex ID: W1973749525
cites work: Rational invariants of meta-abelian groups of linear automorphisms
cites work: A note on a result of Kuniyoshi
description: scientific article; zbMATH DE number 3912499