The diamond partial order for strong Rickart rings

被引：9

作者：

Cirulis, Janis ^{[1
]}

机构：

[1] Univ Latvia, Inst Math & Informat, Riga, Latvia

来源：

LINEAR & MULTILINEAR ALGEBRA | 2017年 / 65卷 / 01期

关键词：

Diamond partial order; Rickart *-ring; space preorder; star partial order; strong Rickart ring;

D O I：

10.1080/03081087.2016.1179250

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The diamond partial order has been first introduced for matrices, and then discussed also in the general context of *-regular rings. We extend this notion to Rickart rings, and state various properties of the diamond order living on the so-called strong Rickart rings. In particular, it is compared with the weak space preorder and the star order; also existence of certain meets and joins under diamond order is discussed.

引用

页码：192 / 203

页数：12

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