Jordan isomorphisms of triangular matrix algebras over a connected commutative ring
type: Item
instance of: scholarly article
title: Jordan isomorphisms of triangular matrix algebras over a connected commutative ring
zbMATH Open document ID: 0962.15007
DOI: 10.1016/S0024-3795(00)00087-2
published in: Linear Algebra and its Applications
publication date: 2001-06-14T00:00:00Z
review text: Let \(C\) be a 2-torsionfree commutative ring with identity 1, and let \(T_r(C)\), \(r\geq 2\), be the algebra of all upper triangular \(r\times r (r\geq 2)\) matrices over \(C\). Then \(C\) contains no idempotents except 0 and 1 if and only if every Jordan isomorphism of \(T_r(C)\) onto an arbitrary algebra over \(C\) is either an isomorphism or an anti-isomorphism.
reviewed by: Rodica Covaci
Mathematics Subject Classification ID: 15A30
zbMATH DE Number: 1485567
zbMATH Keywords: triangular matrix algebras
zbMATH Keywords: 2-torsionfree commutative ring
zbMATH Keywords: idempotents
zbMATH Keywords: Jordan isomorphism
zbMATH Keywords: anti-isomorphism
author: K. I. Beidar
author: Matej Brešar
author: M. A. Chebotar
MaRDI profile type: Publication
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full work available at URL: s0024-3795(00)00087-2
OpenAlex ID: W2003968304
description: scientific article; zbMATH DE number 1485567