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.

引用

页码：129 / 133

页数：5

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