POLYNOMIAL RINGS OVER NLI RINGS NEED NOT BE NLI

被引：1
|
作者：
Chen, Weixing [1 ]
机构：
[1] Shandong Inst Business & Technol, Sch Math & Informat Sci, Yantai 264005, Peoples R China
来源：
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2015年 / 52卷 / 01期
关键词：
NLI rings; polynomial rings; Jacobson radicals; Koethe's problem;
D O I：
10.1556/SScMath.52.2015.1.1305
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that there exists an NI ring R over which the polynomial ring R[x] is not an NLI ring. This answers an open question of Qu and Wei (Stud. Sci. Math. Hung., 5 1 (2), 2014) in the negative. Moreover a sufficient condition of R[x] to be an NLI ring is included for an NLI ring R.
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页码：129 / 133
页数：5
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