Strongly clean rings and fitting's lemma

被引：234

作者：

Nicholson, WK ^{[1
]}

机构：

[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

来源：

COMMUNICATIONS IN ALGEBRA | 1999年 / 27卷 / 08期

关键词：

D O I：

10.1080/00927879908826649

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A ring is called strongly clean if every element is the sum of an idempotent and a unit which commute. These rings are shown to be a natural generalization of the strongly pi-regular rings, and several properties of strongly pi-regular rings are extended, including their relationship to Fitting's lemma.

引用

页码：3583 / 3592

页数：10

共 12 条

[1] Strongly pi-regular rings have stable range one
Ara, P
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (11) : 3293 - 3298
[2] INJECTIVE AND SUBJECTIVE ENDOMORPHISMS OF FINITELY GENERATED MODULES
ARMENDARIZ, EP
FISHER, JW
SNIDER, RL
[J]. COMMUNICATIONS IN ALGEBRA, 1978, 6 (07) : 659 - 672
[3] Azumaya G., 1954, J FS HOKKAIDO U, V13, P34
[4] ON STRONGLY PI-REGULAR RINGS AND HOMOMORPHISMS INTO THEM
BURGESS, WD
MENAL, P
[J]. COMMUNICATIONS IN ALGEBRA, 1988, 16 (08) : 1701 - 1725
[5] EXCHANGE RINGS, UNITS AND IDEMPOTENTS
CAMILLO, VP
YU, HP
[J]. COMMUNICATIONS IN ALGEBRA, 1994, 22 (12) : 4737 - 4749
[6] DISCHINGER F, 1976, CR ACAD SCI A MATH, V283, P571
[7] FREE AND RESIDUALLY ARTINIAN REGULAR-RINGS
GOODEARL, KR
MENAL, P
MONCASI, J
[J]. JOURNAL OF ALGEBRA, 1993, 156 (02) : 407 - 432
[8] PERSPECTIVITY AND CANCELLATION IN REGULAR RINGS
HANDELMAN, D
[J]. JOURNAL OF ALGEBRA, 1977, 48 (01) : 1 - 16
[9] On exchange rings
Nicholson, WK
[J]. COMMUNICATIONS IN ALGEBRA, 1997, 25 (06) : 1917 - 1918
[10] LIFTING IDEMPOTENTS AND EXCHANGE RINGS
NICHOLSON, WK
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 229 (MAY) : 269 - 278

← 1 2 →