On weak π-regularity of rings whose prime ideals are maximal

被引：17

作者：

Hong, CY ^{[1
]}

Kim, NK

Kwak, TK

Lee, Y

机构：

[1] Kyung Hee Univ, Dept Math, Seoul 130701, South Korea

[2] Daejin Univ, Dept Math, Pocheon 487800, South Korea

[3] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2000年 / 146卷 / 01期

关键词：

D O I：

10.1016/S0022-4049(98)00177-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate, in this paper, the connections between the weak pi-regularity and the maximality of prime ideals in 2-primal rings, right quasi-duo rings and PI-rings, respectively. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：35 / 44

页数：10

共 16 条

[1] On Abelian pi-regular rings
Badawi, A
[J]. COMMUNICATIONS IN ALGEBRA, 1997, 25 (04) : 1009 - 1021
[2] Birkenmeier G. F., 1993, P BIENN OH STAT DEN, P102
[3] Regularity conditions and the simplicity of prime factor rings
Birkenmeier, GF
Kim, JY
Park, JK
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1997, 115 (03) : 213 - 230
[4] A CONNECTION BETWEEN WEAK REGULARITY AND THE SIMPLICITY OF PRIME FACTOR RINGS
BIRKENMEIER, GF
KIM, JY
PARK, JK
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 122 (01) : 53 - 58
[5] Chatters AW, 1980, Rings with Chain Conditions, volume 44 of Research Notes in Mathematics
[6] DISCHINGER F, 1976, CR ACAD SCI A MATH, V283, P571
[7] VONNEUMANN REGULARITY OF RINGS WITH REGULAR PRIME FACTOR RINGS
FISHER, JW
SNIDER, RL
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1974, 54 (01) : 135 - 144
[8] Gupta V., 1977, MATH J OKAYAMA U, V19, P123
[9] HIRANO Y, 1990, MATH J OKAYAMA U, V32, P97
[10] Hirano Y., 1978, MATH J OKAYAMA U, V20, P141

← 1 2 →