ISOMORPHISM BETWEEN ENDOMORPHISM RINGS OF MODULES OVER A SEMI SIMPLE RING

被引：0

作者：

Susanto, Hery ^{[1
]}

Irawati, Santi ^{[1
]}

Hidayah, Indriati Nurul ^{[1
]}

Irawati ^{[2
]}

机构：

[1] Univ Negeri Malang, Math Dept, Jalan Semarang 5, Malang 65145, Indonesia

[2] Inst Teknol Bandung, Math Dept, Jalan Ganesha 10, Bandung 40132, Indonesia

来源：

JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY | 2020年 / 26卷 / 02期

关键词：

Modules; division ring; simple Artinian ring; semi simple ring;

D O I：

10.22342/jims.26.2.824.170-174

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our question is what ring R which all modules over R are determined, up to isomorphism, by their endomorphism rings? Examples of this ring are division ring and simple Artinian ring. Any semi simple ring does not satisfy this property. We construct a semi simple ring R but R is not a simple Artinian ring which all modules over R are determined, up to isomorphism, by their endomorphism rings.

引用

页码：170 / 174

页数：5

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