Generalizations of reversible and Armendariz rings

被引：5
|
作者：
Han, Juncheol [1 ]
Kwak, Tai Keun [2 ]
Lee, Chang Ik [3 ]
Lee, Yang [1 ]
Seo, Yeonsook [1 ]
机构：
[1] Pusan Natl Univ, Dept Math Educ, Pusan 46241, South Korea
[2] Daejin Univ, Dept Math, Pochon 11159, South Korea
[3] Pusan Natl Univ, Dept Math, Pusan 46241, South Korea
来源：
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2016年 / 26卷 / 05期
基金：
新加坡国家研究基金会;
关键词：
Matrix ring; polynomial ring; pi-reversible ring; power-Armendariz ring; symmetric ring; reversible ring; Armendariz ring; IFP ring; PI-REGULAR RINGS; SYMMETRIC RINGS; EXTENSIONS; COPRODUCTS; NILPOTENT; EXAMPLES; MODULES;
D O I：
10.1142/S0218196716500387
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper concerns several ring theoretic properties related to matrices and polynomials. The basic properties of pi-reversible and power-Armendariz are studied. We provide a method by which one can always construct a power-Armendariz ring but neither symmetric nor Armendariz from given any symmetric ring. We investigate next various interesting relations among ring theoretic properties containing pi-reversibility and power-Armendariz condition.
引用
收藏
页码：911 / 933
页数：23
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