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*.
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页码：869 / 879
页数：11
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