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.
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页码:125 / 139
页数:15
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