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HILBERT BASIS QUIVERS

 

作者: Dorothea Hõinghaus,   Günther Richter,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1983）
卷期: Volume 6, issue 1-3  

页码: 157-175

 

ISSN:1607-3606

 

年代: 1983

 

DOI:10.1080/16073606.1983.9632298

 

出版商: Taylor & Francis Group

 

关键词: 05C20;16A33;16A90;18A25

 

数据来源: Taylor

 

摘要:

A quiver G (= directed multigraph, loops and parallel edges are allowed) is called a Hilbert basis quiver (HBQ) if a certain path algebra R[G] over a ring R is right noetherian provided R does. Such path algebras can be considered as generalized polynomial rings over R. There is the following characterization:

 

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