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Solvability of the ideal of all weight zero elements in bernstein algebras

 

作者: Irvin Roy Hentzel,   David Pokrass Jacobs,   Luiz Antonio Peresi,   Sergei Robertovich Sverchkov,  

 

期刊: Communications in Algebra  （Taylor Available online 1994）
卷期: Volume 22, issue 9  

页码: 3265-3275

 

ISSN:0092-7872

 

年代: 1994

 

DOI:10.1080/00927879408825028

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

We use a computer to verify that the ideal N of all weight zero elements of any (not necessarily finite dimensional) Bernstein algebra is solvable of index ≤4. We also use a computer to verify thatN2is nilpotent of index ≤9. We give three examples of Bernstein algebras which show that various hypotheses like finite dimensionality, finitely generatedA2=A, are separately not enough to forceNto be nilpotent.

 

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