RADICALS OF SKEW POLYNOMIAL AND SKEW LAURENT POLYNOMIAL RINGS OVER SKEW ARMENDARIZ RINGS

被引：7
|
作者：
Nasr-Isfahani, A. R. [1 ,2 ]
机构：
[1] Univ Isfahan, Dept Math, Esfahan, Iran
[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran
来源：
COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 03期
关键词：
Armendariz ring; Jacobson radical; Prime radical; Skew Laurent polynomial rings; Skew polynomial rings; 16S36; 16N40; 16N20; EXTENSIONS;
D O I：
10.1080/00927872.2012.738746
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we study radicals of skew polynomial ring R[x; ] and skew Laurent polynomial ring R[x, x(-1); ], for a skew-Armendariz ring R. In particular, among the other results, we show that for an skew-Armendariz ring R, J(R[x; ])=N-0(R[x; ])=Ni-*(R)[x; ] and J(R[x, x(-1); ])=N-0(R[x, x(-1); ])=Ni-*(R)[x, x(-1); ].
引用
收藏
页码：1337 / 1349
页数：13
相关论文
共 50 条
12345