A note on algebraic automorphisms
type: Item
instance of: scholarly article
title: A note on algebraic automorphisms
zbMATH Open document ID: 0729.12013
DOI: 10.1016/0021-8693(91)90297-L
author: Mowaffaq Hajja
author: R. R. Khazal
published in: Journal of Algebra
publication date: 1991-01-01T00:00:00Z
review text: Let V be a vector space over the field k and let t be an automorphism of V. Assume that t is algebraic with minimal polynomial P(T)\(\in k[T]\). Let k(V) be the field of quotients of the symmetric k-algebra of V and let s be the k-automorphism on k(V) induced by t. The authors show that s is completely determined by P(T) and \(\dim_ k(V)\).
reviewed by: John N. Mordeson
Mathematics Subject Classification ID: 12F20
zbMATH DE Number: 4204499
zbMATH Keywords: rational extension
zbMATH Keywords: automorphism
MaRDI profile type: Publication
cites work: A note on affine automorphisms
cites work: Q5656860
full work available at URL: 0021-8693(91)90297-l
OpenAlex ID: W1997367912
Recommended article: A note on affine automorphisms
Recommended article: Q4984544
Recommended article: A note on commutativity of automorphisms
Recommended article: A note on monomial automorphisms
Recommended article: A Note on Automorphism Groups of Algebraic Number Fields
Recommended article: A note on I-automorphisms
Recommended article: Q3567912
Recommended article: On algebraic automorphisms and their rational invariants
Recommended article: Q5550458
Recommended article: A determination of the automorphisms of certain algebraic fields
description: scientific article; zbMATH DE number 4204499