Zero Divisors in Skew Power Series Rings

被引：1
|
作者：
Kwak, Tai Keun [1 ]
Lee, Yang [2 ]
机构：
[1] Daejin Univ, Dept Math, Pochon 487711, South Korea
[2] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea
来源：
COMMUNICATIONS IN ALGEBRA | 2015年 / 43卷 / 10期
关键词：
Rigid ring; Skew Armendariz property; Skew McCoy condition; Skew triangular matrix ring; 16S36; 16W20; 16U80; ARMENDARIZ RINGS; MCCOY CONDITION; SEMICOMMUTATIVE RINGS; ORE EXTENSIONS; PROPERTY;
D O I：
10.1080/00927872.2014.946607
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the rigid property of rings in the concrete, via power series rings, matrix rings, and Insertion-of-Factors-Property. In the procedure, we concentrate our attention on the skew power-serieswise Armendariz property. We next apply the McCoy condition to skew power series rings, which induces a generalization of skew power-serieswise Armendariz. The relationship is investigated among the properties above and related ring properties, and several known results are obtained as consequences of our results.
引用
收藏
页码：4427 / 4445
页数：19
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