Local rings of exchange rings

被引：22

作者：

Ara, P ^{[1
]}

Lozano, MG

Molina, MS

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, Bellaterra 08193, Spain

[2] Univ Malaga, Fac Ciencias, Dept Algebra Geometria & Topol, E-29071 Malaga, Spain

来源：

COMMUNICATIONS IN ALGEBRA | 1998年 / 26卷 / 12期

关键词：

D O I：

10.1080/00927879808826405

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the exchange property for non-unital rings in terms of their local rings at elements, and we use this characterization to show that the exchange property is Morita invariant for idempotent rings. We also prove that every ring contains a greatest exchange ideal (with respect to the inclusion).

引用

页码：4191 / 4205

页数：15

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