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MATRIX RINGS OF INVARIANT SUBSPACES

 

作者: Leon van Wyk,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1995）
卷期: Volume 18, issue 4  

页码: 501-515

 

ISSN:1607-3606

 

年代: 1995

 

DOI:10.1080/16073606.1995.9631817

 

出版商: Taylor & Francis Group

 

关键词: 16S50

 

数据来源: Taylor

 

摘要:

Consider a setVofR-submodules ofRn,Ra commutative ring. We provide a sufficient condition onVsuch that the ring of allR-endomorphisms ofRn, which leave everyR-submodule inVinvariant, is a structural matrix ring. We also obtain results suggesting strongly that the mentioned condition is necessary too in caseRis a field.

 

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