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Minimal number of idempotent generators of matrix algebras over arbitrary field

 

作者: Naum Krupnik,  

 

期刊: Communications in Algebra  （Taylor Available online 1992）
卷期: Volume 20, issue 11  

页码: 3251-3257

 

ISSN:0092-7872

 

年代: 1992

 

DOI:10.1080/00927879208824513

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

It is proved that the smallest number v=(n,F) such that the matrix algebra Mn(F) (n> 2) over an arbitrary fieldFcan be generated (as an algebra) byvidempotents isfor the remaining cases. The minimal number of idempotent generators of a split finite-dimensional semi-simple algebra is also obtained.

 

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