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

页码：911 / 933

页数：23

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