ENDOMORPHISM RINGS OF MODULES OVER PRIME RINGS

被引：0

作者：

Baziar, Mohammad ^{[1
]}

Lomp, Christian ^{[2
]}

机构：

[1] Univ Yasuj, Dept Math, Yasuj 75914, Iran

[2] Univ Porto, Dept Math, P-4100 Oporto, Portugal

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2015年 / 19卷 / 03期

关键词：

Prime modules; Endomorphism rings; *-prime; SEMIPRIME;

D O I：

10.11650/tjm.19.2015.5111

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Endomorphism rings of modules appear as the center of a ring, as the fix ring of a ring with group action or as the subring of constants of a derivation. This note discusses the question whether certain *-prime modules have a prime endomorphism ring. Several conditions are presented that guarantee the primeness of the endomorphism ring. The contours of a possible example of a *-prime module whose endomorphism ring is not prime are traced.

引用

页码：953 / 962

页数：10

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