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A topological characterization of the goldman prime spectrum of a commutative ring

 

作者: Othman Echi,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 5  

页码: 2329-2337

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008826962

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: G-ideal;Zariski topology;quasi-homeomorphism;sober space

 

数据来源: Taylor

 

摘要:

A prime idealpof a commutative ringRis said to be a Goldman ideal (or aG-ideal) if there exists a maximal idealMof the polynomial ringR[X] such thatp=M∩R. A topological space is said to be goldspectral if it is homeomorphic to the space Gold(R) ofG-ideals ofR(Gold(R) is considered as a subspace of the prime spectrum Spec(R) equipped with the Zariski topology). We give here a topological characterization of goldspectral spaces.

 

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