When is a centralizer near-ring isomorphic to a matrix near-ring?

被引：4
|
作者：
Smith, KC [1 ]
vanWyk, L [1 ]
机构：
[1] UNIV STELLENBOSCH,DEPT MATH,ZA-7602 MATIELAND,SOUTH AFRICA
来源：
COMMUNICATIONS IN ALGEBRA | 1996年 / 24卷 / 14期
关键词：
centralizer near-rings; matrix near-rings;
D O I：
10.1080/00927879608825830
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Necessary conditions are found For a centralizer near-ring M(A)(G) to be isomorphic to a matrix near-ring, where G is a finite group which is cyclic as an M(A)(G)-module. There are centralizer near-rings which are matrix near-rings. A class of such near-rings is exhibited. Examples of centralizer near-rings which are not matrix near-rings are given.
引用
收藏
页码：4549 / 4562
页数：14
相关论文
共 50 条
  • [41] Near-ring radicals and class pairs
    Godloza, L
    Groenewald, NJ
    Olivier, WA
    ALGEBRA COLLOQUIUM, 2005, 12 (01) : 101 - 112
  • [42] On additively commutative near-ring congruences on seminearrings
    Mukherjee , Rajlaxmi
    Sardar, Sujit Kumar
    Pal, Pavel
    SEMIGROUP FORUM, 2015, 91 (03) : 573 - 583
  • [43] W-GROUPS AND NEAR-RING MODULES
    MASON, G
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1975, 18 (02): : 241 - 244
  • [44] Near-ring congruences on additively regular seminearrings
    Chakraborty, Kamalika
    Pal, Pavel
    Sardar, Sujit Kumar
    SEMIGROUP FORUM, 2020, 101 (02) : 285 - 302
  • [45] Near-ring congruences on additively regular seminearrings
    Kamalika Chakraborty
    Pavel Pal
    Sujit Kumar Sardar
    Semigroup Forum, 2020, 101 : 285 - 302
  • [46] On additively commutative near-ring congruences on seminearrings
    Rajlaxmi Mukherjee (Pal)
    Sujit Kumar Sardar
    Pavel Pal
    Semigroup Forum, 2015, 91 : 573 - 583
  • [47] LEFT IDEALS IN THE NEAR-RING OF AFFINE TRANSFORMATIONS
    MUTTER, W
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1991, 43 (01) : 115 - 122
  • [48] A study on the structure of Hυ-near-ring modules
    Davvaz, B
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (05): : 693 - 700
  • [49] ON THE TYPE-V SOCLES OF A NEAR-RING
    DESTEFANO, S
    DISIENO, S
    ARCHIV DER MATHEMATIK, 1984, 42 (01) : 40 - 44
  • [50] Right representations of right near-ring radicals
    Ravi Srinivasa Rao
    Stefan Veldsman
    Afrika Matematika, 2019, 30 : 37 - 52
12345