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

页码：4549 / 4562

页数：14

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