Products of idempotents in separative regular rings

被引:1
|
作者
O'Meara, K. C.
机构
[1] San Francisco, CA 94111
关键词
Separative von Neumann regular rings; products of idempotents;
D O I
10.1142/S0219498814500716
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that the condition Rr(a) = l(a)R = R(1 - a)R characterizes elements a of a regular ring R that are products of idempotents in precisely the separative regular rings.
引用
收藏
页数:14
相关论文
共 50 条
  • [21] IDEMPOTENTS IN SIMPLE RINGS
    CHUANG, CL
    LEE, PH
    JOURNAL OF ALGEBRA, 1979, 56 (02) : 510 - 515
  • [22] ON REGULAR CROSSED-PRODUCTS OF GROUPS AND RINGS
    KOLIKOV, KH
    DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1990, 43 (08): : 17 - 18
  • [23] STRUCTURE OF IDEMPOTENTS IN POLYNOMIAL RINGS AND MATRIX RINGS
    Huang, Juan
    Kwak, Tai Keun
    Lee, Yang
    Piao, Zhelin
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 60 (05) : 1321 - 1334
  • [24] CENTRAL IDEMPOTENTS IN GROUP RINGS
    BURNS, RG
    CANADIAN MATHEMATICAL BULLETIN, 1970, 13 (04): : 527 - &
  • [25] REGULAR SEMIGROUPS WITH NORMAL IDEMPOTENTS
    Ni, Xiangfei
    Chao, Haizhou
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2017, 103 (01) : 116 - 125
  • [26] IDEMPOTENTS IN GROUP-RINGS
    MARCINIAK, ZS
    MATHEMATISCHE ZEITSCHRIFT, 1983, 184 (01) : 19 - 27
  • [27] CHAINS IN SET OF IDEMPOTENTS IN RINGS
    FARES, N
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1969, 269 (10): : 377 - &
  • [28] Idempotents in representation rings of quivers
    Kinser, Ryan
    Schiffler, Ralf
    ALGEBRA & NUMBER THEORY, 2012, 6 (05) : 967 - 994
  • [29] NeutroAlgebra of Idempotents in Group Rings
    Kandasamy, Vasantha
    Kandasamy, Ilanthenral
    Neutrosophic Sets and Systems, 2022, 50 : 156 - 177
  • [30] ADDITIVE SET OF IDEMPOTENTS IN RINGS
    Han, Juncheol
    Park, Sangwon
    COMMUNICATIONS IN ALGEBRA, 2012, 40 (09) : 3551 - 3557