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The general linear group of polynomial rings over regular rings

 

作者: Ton Vorst,  

 

期刊: Communications in Algebra  （Taylor Available online 1981）
卷期: Volume 9, issue 5  

页码: 499-509

 

ISSN:0092-7872

 

年代: 1981

 

DOI:10.1080/00927878108822596

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

In this note we shall prove for two types of regular rings A that every element ofis a product of an element of(the group of elementary matrices) and an element of GLr(A), for A ≥3 and n arbitrary. This is a kind of GLr-analogue of results of Lindel and Mohan-Kumar and is an extension of a result of Suslin.

 

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