ONE-SIDED CLEAN RINGS

被引:0
作者
Calugaranu, Grigore [1 ]
机构
[1] Babes Bolyai Univ, Fac Math & Comp Sci, 1 Kogalniceanu Str, Cluj Napoca 400084, Romania
来源
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2010年 / 55卷 / 03期
关键词
Right clean; weakly right exchange rings and modules;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Replacing units by one-sided units in the definition of clean rings (and modules), new classes of rings (and modules) are defined and studied, generalizing most of the properties known in the clean case.
引用
收藏
页码:83 / 92
页数:10
相关论文
共 10 条
[1]   Weakly clean rings and almost clean rings [J].
Ahn, Myung-Sook ;
Anderson, D. D. .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2006, 36 (03) :783-798
[2]   Commutative rings whose elements are a sum of a unit and idempotent [J].
Anderson, DD ;
Camillo, VP .
COMMUNICATIONS IN ALGEBRA, 2002, 30 (07) :3327-3336
[3]  
ARNOLD DM, 1982, LECT NOTES MATH, V931, pR3
[4]   Continuous modules are clean [J].
Camillo, V. P. ;
Khurana, D. ;
Lam, T. Y. ;
Nicholson, W. K. ;
Zhou, Y. .
JOURNAL OF ALGEBRA, 2006, 304 (01) :94-111
[5]   Weakly stable conditions for exchange rings [J].
Chen, Huanyin .
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (04) :903-913
[6]   Extensions of clean rings [J].
Han, J ;
Nicholson, NK .
COMMUNICATIONS IN ALGEBRA, 2001, 29 (06) :2589-2595
[7]  
Lam T. Y, 1995, EXERCISES CLASSICAL
[8]   Clean semiprime f-rings with bounded inversion [J].
McGovern, WW .
COMMUNICATIONS IN ALGEBRA, 2003, 31 (07) :3295-3304
[9]   CHARACTERIZATION OF EXCHANGE RINGS [J].
MONK, GS .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 35 (02) :349-&
[10]  
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