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Tilting modules over split-by-nilpotent extensions

 

作者: Ibrahim Assem,   Nikolaos Marmaridis,  

 

期刊: Communications in Algebra  （Taylor Available online 1998）
卷期: Volume 26, issue 5  

页码: 1547-1555

 

ISSN:0092-7872

 

年代: 1998

 

DOI:10.1080/00927879808826219

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: Tilting Modules;Split-by-Nilpotent Extensions;Trivial Extensions

 

数据来源: Taylor

 

摘要:

Let a finite dimensional algebraRbe a split extension of an algebraAby a nilpotent bimoduleQ. We give necessary and sufficient conditions for a (partial) tilting moduleTAto be such thatT⊗ARRis a (partial) tilting module. If this is not the case, butQAis generated by the tilting moduleTA, then there exists a quotient[Rbar]ofRsuch thatT⊗A[Rbar][Rbar]is a tilting module.

 

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