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HOMOLOGICAL DIMENSIONS OF INVARIANTS FOR HOPF ALGEBRA ACTIONS

 

作者: Zhixi Wang,   Shilin Yang,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1999）
卷期: Volume 22, issue 2  

页码: 183-186

 

ISSN:1607-3606

 

年代: 1999

 

DOI:10.1080/16073606.1999.9632072

 

出版商: Taylor & Francis Group

 

关键词: 16E10;16S40;16W30;16W50;Hopf algebra action;invariants;homological dimension

 

数据来源: Taylor

 

摘要:

LetHbe a Hopf algebra acting on a ringA, and letAHdenote the invariant subring ofA.It is shown that ifHis semisimple andAis a finitely generated projective rightAH—module then IdAH= IdA= Id(A#H). Moreover, ifAis a left and right noetherian ring with gl.dimA< infin;, it is deduced that gl.dimA. = gl.dimA.

 

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