AN INTERNAL CHARACTERIZATION OF STRUCTURAL MATRIX-RINGS

被引：12

作者：

SMITH, KC ^{[1
]}

VANWYK, L ^{[1
]}

机构：

[1] UNIV STELLENBOSCH, DEPT MATH, STELLENBOSCH 7600, SOUTH AFRICA

来源：

COMMUNICATIONS IN ALGEBRA | 1994年 / 22卷 / 14期

关键词：

MATRIX RING; MATRIX UNIT;

D O I：

10.1080/00927879408825149

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that structural matrix rings provide a natural passage from complete matrix rings to upper and lower triangular matrix rings, and they often explain the peculiarities regarding certain properties of complete matrix rings on the one hand and of triangular matrix rings on the other hand. In this paper the concept of a set of matrix units in a ring associated with a quasi-order relation is introduced and used to provide an internal characterisation of structural matrix rings.

引用

页码：5599 / 5622

页数：24

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