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Unique factorization of *-products of one-fibered monomial ideals

 

作者: John F. Gately,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 7  

页码: 3137-3153

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008827015

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

LetRk[x1,x2,x3] be a 3-dimensional polynomial ring over a fieldk.We show that no non-trivial relations exist among *-products of complete one-fibered (x1,x2,x3)-primary monomial ideals. This is connected with questions about how Zariski's work on the unique factorization of complete ideals in regular local rings of dimension two might be generalized to higher dimensions.

 

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