MODULES OVER MATRIX NEAR-RINGS AND THE G(0)-RADICAL

被引:12
|
作者
MELDRUM, JDP [1 ]
MEYER, JH [1 ]
机构
[1] UNIV ORANGE FREE STATE,DEPT MATH,BLOEMFONTEIN 9300,SOUTH AFRICA
来源
MONATSHEFTE FUR MATHEMATIK | 1991年 / 112卷 / 02期
关键词
D O I
10.1007/BF01525799
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper clears up some questions concerning type 0 modules over matrix near-rings and the I0-radical in matrix near-rings. It is shown that, unlike in the type 2 case, type 0 modules over matrix near-rings may arise in several non-isomorphic ways. As a result, we do not always have the same "nice" relationship between the I0-radicals of a near-ring and the corresponding matrix near-ring, as we do for the I2-radical. All near-rings concerned are zero-symmetric with identity element.
引用
收藏
页码:125 / 139
页数:15
相关论文
共 50 条
  • [1] THE J0-RADICAL OF MATRIX NEAR-RINGS
    ABBASI, SJ
    MELDRUM, JDP
    MEYER, JH
    [J]. ARCHIV DER MATHEMATIK, 1991, 56 (02) : 137 - 139
  • [2] MATRIX NEAR-RINGS OVER SEMISIMPLE NEAR-RINGS
    RAO, RS
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1994, 25 (07): : 743 - 753
  • [3] Matrix near-rings over centralizer near-rings
    Smith, KC
    van Wyk, L
    [J]. ALGEBRA COLLOQUIUM, 2000, 7 (01) : 5 - 16
  • [4] A characterization of the J0-radical in matrix near-rings with DCCL
    Rao, RS
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2002, 33 (12): : 1917 - 1920
  • [5] Matrix near-rings and 0-primitivity
    W.-F. Ke
    J. H. Meyer
    [J]. Monatshefte für Mathematik, 2012, 165 : 353 - 363
  • [6] Matrix near-rings and 0-primitivity
    Ke, W. -F.
    Meyer, J. H.
    [J]. MONATSHEFTE FUR MATHEMATIK, 2012, 165 (3-4): : 353 - 363
  • [7] A note on primeness in Near-rings and matrix Near-rings
    Satyanarayana, B
    Rao, MBVL
    Prasad, KS
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1996, 27 (03): : 227 - 234
  • [8] CENTRALIZER NEAR-RINGS OVER FREE RING MODULES
    MAXSON, CJ
    VANDERWALT, APJ
    [J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1991, 50 : 279 - 296
  • [9] Matrix maps over planar near-rings
    Ke, Wen-Fong
    Meyer, Johan H.
    Wendt, Gerhard
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2010, 140 : 83 - 99
  • [10] A RADICAL FOR NEAR-RINGS
    DESKINS, WE
    [J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1954, 60 (04) : 360 - 360