Jordan isomorphisms of generalized structural matrix rings

被引：3

作者：

Dascalescu, S. ^{[1
]}

Predut, S. ^{[1
]}

van Wyk, L. ^{[2
]}

机构：

[1] Univ Bucharest, Fac Math, RO-010014 Bucharest 1, Romania

[2] Univ Stellenbosch, Dept Math Sci, Div Math, ZA-7602 Stellenbosch, South Africa

来源：

LINEAR & MULTILINEAR ALGEBRA | 2013年 / 61卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

structural matrix ring; block triangular matrix ring; Jordan isomorphism; bimodule;

D O I：

10.1080/03081087.2012.686109

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the sub-bimodules of matrix bimodules over two structural matrix rings. Structural matrix bimodules arise as particular such sub-bimodules, and we discuss when such a bimodule is faithful or indecomposable. As an application, we obtain a large class of rings whose Jordan isomorphisms are either ring isomorphisms or ring anti-isomorphisms. Complete upper block triangular matrix rings over 2-torsion-free indecomposable rings are elements of this class.

引用

页码：369 / 376

页数：8

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