On skew Armendariz rings

被引:127
作者
Hong, CY [1 ]
Kim, NK
Kwak, TK
机构
[1] Kyung Hee Univ, Dept Math, Seoul 131701, South Korea
[2] Kyung Hee Univ, Res Inst Basic Sci, Seoul 131701, South Korea
[3] Hanbat Natl Univ, Div Gen Educ, Taejon, South Korea
[4] Daejin Univ, Dept Math, Pocheon, South Korea
关键词
Armendariz rings; skew polynomial rings; rigid rings; Baer rings; p.p.-rings;
D O I
10.1081/AGB-120016752
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For a ring endomorphism alpha, we introduce alpha-skew Armendariz rings which are a generalization of alpha-rigid rings and Armendariz rings, and investigate their properties. Moreover, we study on the relationship between the Baerness and p.p.-property of a ring R and these of the skew polynomial ring R[x; alpha] in case R is alpha-skew Armendariz.
引用
收藏
页码:103 / 122
页数:20
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