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Remarks on rings of constants of derivations II

 

作者: Wei Li,  

 

期刊: Communications in Algebra  （Taylor Available online 1992）
卷期: Volume 20, issue 8  

页码: 2191-2194

 

ISSN:0092-7872

 

年代: 1992

 

DOI:10.1080/00927879208824456

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

Letkbe a field of characteristicp>0 and D≠0 a family ofk-derivations ofk[x,y]. It is proved in [1] thatk[x,y]D, the ring of constants with respect to D, can be generated, as ak[xp,yp]-algebra, byp- 1 elements. In this note we prove thatp- 1 is the sharp upper bound of numbers of generators.

 

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