Extending partial orders on rings

被引：1

作者：

Findler, Moreta ^{[1
]}

Ma, Jingjing ^{[1
]}

机构：

[1] Univ Houston Clear Lake, Dept Math & Stat, 2700 Bay Area Blvd, Houston, TX 77058 USA

来源：

QUAESTIONES MATHEMATICAE | 2021年 / 44卷 / 07期

关键词：

Primary; Consistently L*-ring; consistently O*-ring; left division closed; L*-ring; O*-ring;

D O I：

10.2989/16073606.2020.1752841

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a commutative ring with identity, it is consistently L* if and only if it is consistently O*. This result is generalized to noncommutative rings with identity in the section 2. In the section 3, it is shown that for any abelian group G and integral domain D, the group ring D[G] is L* if and only if it is O*.

引用

页码：869 / 879

页数：11

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