RIGHT SELF-INJECTIVE RINGS WHOSE ESSENTIAL RIGHT IDEALS ARE 2-SIDED

被引：9

作者：

BYRD, KA ^{[1
]}

机构：

[1] UNIV N CAROLINA, GREENSBORO, NC 27412 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1979年 / 82卷 / 01期

关键词：

D O I：

10.2140/pjm.1979.82.23

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A ring R of the kind described by the title is called a right g-ring and is characterized by the property that each of its right ideals is quasi-injective as a right R-module. The principal results of this paper are Theorem 6, which describes how an arbitrary right q-ring is constructed from division rings, local rings, and right q-rings with no primitive idempotent, and Theorem 5 which shows that a right g-ring cannot have an infinite set of orthogonal noncentral idempotents. © 1979, University of California, Berkeley. All Rights Reserved.

引用

页码：23 / 41

页数：19