Intermediate rings between matrix rings and Ornstein dual pairs

被引：0

作者：

Á. del Río

J. J. Simoń

机构：

[1] Departamento de Matemáticas,

[2] Universidad de Murcia,undefined

[3] 30100 Murcia,undefined

[4] Spain,undefined

来源：

Archiv der Mathematik | 2000年 / 75卷

关键词：

Dual Pair; Division Ring; Matrix Ring; Isomorphism Theorem; Intermediate Ring;

D O I：

暂无

中图分类号：

学科分类号：

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：7