Intermediate rings between matrix rings and Ornstein dual pairs

被引：4

作者：

del Río, A ^{[1
]}

Simón, JJ ^{[1
]}

机构：

[1] Univ Murcia, Dept Matemat, E-30100 Murcia, Spain

来源：

ARCHIV DER MATHEMATIK | 2000年 / 75卷 / 04期

关键词：

D O I：

10.1007/s000130050501

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that isomorphism of intermediate rings between row and column finite matrix rings and row finite matrix rings implies Morita equivalence of the coefficient rings and equality of the cardinality of the set of indices. Among the applications we extend the Isomorphism Theorem for Dual Pairs over Division Rings to Ornstein dual pairs over any class of rings for which Morita equivalence implies isomorphism.

引用

页码：256 / 263

页数：8

共 8 条

[1]

ABRAMS AG, 1986, ARCH MATH, V46, P33

[2]

Anderson FW., 1991, RINGS CATEGORIES MOD, V2

[3] MORITA EQUIVALENCE AND INFINITE MATRIX-RINGS [J].