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

共 50 条

[1] A UNIFIED APPROACH TO VARIOUS GENERALIZATIONS OF ARMENDARIZ RINGS
Marks, Greg
Mazurek, Ryszard
Ziembowski, Michal
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2010, 81 (03) : 361 - 397
[2] RINGS OVER WHICH POLYNOMIAL RINGS ARE ARMENDARIZ AND REVERSIBLE
Ahn, Jung Ho
Choi, Min Jeong
Choi, Si Ra
Jeong, Won Seok
Kim, Jung Soo
Lee, Jeong Yeol
Lee, Soon Ji
Lee, Young Sun
Noh, Dong Hyun
Noh, Yu Seung
Park, Gyeong Hyeon
Lee, Chang Ik
Lee, Yang
KOREAN JOURNAL OF MATHEMATICS, 2012, 20 (03): : 273 - 284
[3] PROPERTIES OF ARMENDARIZ RINGS AND WEAK ARMENDARIZ RINGS
Jokanovic, Dusan
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2009, 85 (99): : 131 - 137
[4] On Armendariz rings
Lee, TK
Wong, TL
HOUSTON JOURNAL OF MATHEMATICS, 2003, 29 (03): : 583 - 593
[5] Armendariz rings
Rege, MB
Chhawchharia, S
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1997, 73 (01) : 14 - 17
[6] Armendariz rings and semicommutative rings
Huh, C
Lee, Y
Smoktunowicz, A
COMMUNICATIONS IN ALGEBRA, 2002, 30 (02) : 751 - 761
[7] ON ARMENDARIZ RING AND ITS GENERALIZATIONS
Pourtaherian, H.
Rakhimov, I. S.
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2009, 15 (02): : 101 - 111
[8] Armendariz rings and Gaussian rings
Anderson, DD
Camillo, V
COMMUNICATIONS IN ALGEBRA, 1998, 26 (07) : 2265 - 2272
[9] On Π-Armendariz rings
Huh, Chan
Lee, Chang Ik
Park, Kwang Sug
Ryu, Sung Ju
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (04) : 641 - 649
[10] Armendariz rings and reduced rings
Kim, NK
Lee, Y
JOURNAL OF ALGEBRA, 2000, 223 (02) : 477 - 488

← 1 2 3 4 5 →