Hua's theorem for simple Artin algebras
type: Item
instance of: scholarly article
title: Hua's theorem for simple Artin algebras
zbMATH Open document ID: 0958.16023
DOI: 10.1016/S0024-3795(99)00081-6
author: H. Essanouni
author: Amin Kaidi
published in: Linear Algebra and its Applications
publication date: 2001-01-21T00:00:00Z
review text: Hua's theorem states that a bijection \(f\) of a skew field \(K\) satisfying \((a+b)f=af+bf\), \(If=1\), \((a^{-1})f\cdot af=1\) (\(a\neq 0\)) is an auto- or an antiautomorphism [\textit{L.-K. Hua}, Proc. Natl. Acad. Sci. USA 35, 386-389 (1949; Zbl 0033.10402)]. The authors establish the same result for the \(n\times n\) matrix ring over \(K\), for any \(n>1\), provided that \(K\) has more than 2 elements.
Mathematics Subject Classification ID: 16P20
Mathematics Subject Classification ID: 16W20
Mathematics Subject Classification ID: 16K20
Mathematics Subject Classification ID: 16S50
zbMATH DE Number: 1400195
zbMATH Keywords: Hua's theorem
zbMATH Keywords: skew fields
zbMATH Keywords: antiautomorphisms
zbMATH Keywords: matrix rings
reviewed by: Paul M. Cohn
MaRDI profile type: Publication
Wikidata QID: Q126351591
description: scientific article; zbMATH DE number 1400195