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The herzog-vasconcelos conjecture for affine semigroup rings

 

作者: Gerd Müller,   D.P. Patil,  

 

期刊: Communications in Algebra  （Taylor Available online 1999）
卷期: Volume 27, issue 7  

页码: 3197-3200

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826621

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

LetSbe a simplicial affine semigroup such that its semigroup ringA=k[S] is Buchsbaum. We prove for suchAthe Herzog-Vasconcelos conjecture: If theA-module DerkAofk-linear derivations ofAhas finite projective dimension then it is free and henceAis a polynomial ring by the well known graded case of the Zariski-Lipman conjecture.

 

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