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On the codimension of the image of a derivation in a communicative field

 

作者: J.Z. Gonçalves,   M. Shirvani,  

 

期刊: Communications in Algebra  （Taylor Available online 1998）
卷期: Volume 26, issue 7  

页码: 2273-2281

 

ISSN:0092-7872

 

年代: 1998

 

DOI:10.1080/00927879808826275

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

Let δ be a derivation in a fieldKof characteristic 0, with fixed fieldk. We show that, ifK/kis finitely generated, then the codimension, ask-vector space, ofKδ +kinKis infinite, while in the infinitely generated case, the said codimension can be any finite non-negative integer.

 

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