A CONNECTION BETWEEN WEAK REGULARITY AND THE SIMPLICITY OF PRIME FACTOR RINGS

被引：35

作者：

BIRKENMEIER, GF

KIM, JY

PARK, JK

机构：

[1] KYUNG HEE UNIV, DEPT MATH, SUWON 449900, SOUTH KOREA

[2] BUSAN NATL UNIV, DEPT MATH, PUSAN 609735, SOUTH KOREA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 122卷 / 01期

关键词：

VON-NEUMANN REGULARITY; PRIME IDEAL; REDUCED RING; WEYL ALGEBRA;

D O I：

10.2307/2160840

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that a reduced ring R is weakly regular (i.e., I2 = I for each one-sided ideal I of R) if and only if every prime ideal is maximal. This result extends several well-known results. Moreover, we provide examples which indicate that further generalization of this result is limited.

引用

页码：53 / 58

页数：6

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