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Each Schurian algebra is tensor-simple

 

作者: Vladimir Bavula,  

 

期刊: Communications in Algebra  （Taylor Available online 1995）
卷期: Volume 23, issue 4  

页码: 1363-1367

 

ISSN:0092-7872

 

年代: 1995

 

DOI:10.1080/00927879508825284

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

It is proved that each Schurian algebra is tensor-simple. Let K be a field, for any algebra A denote by  the set of isoclasses of simple A-modules. A module means a left module. If M and N are A- and B-modules respectively, then their tensor product M⊗ N (over K,⊗ means ⊗k) is the module over the tensor product A⊗ B of algebras A and B.

 

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