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A radical for arbitrary algebras

 

作者: Helmut Röhrl,   Sebastian Walcher,  

 

期刊: Communications in Algebra  （Taylor Available online 1995）
卷期: Volume 23, issue 10  

页码: 3889-3914

 

ISSN:0092-7872

 

年代: 1995

 

DOI:10.1080/00927879508825438

 

出版商: Marcel Dekker, Inc.

 

关键词: m-aryR-algebras;generalized semisimple algebras;inessential maximal ideals;essential maximal ideals;max-uniformity;profinite uniformity;continuous homomorphisms;17A01;17A42;17A65

 

数据来源: Taylor

 

摘要:

In this paper we develop a radical for arbitrarym-aryR-algebras. This is done via the set of all maximal ideals of them-ary algebraA. It turns out that the radical ofAis the intersection of all essential maximal ideals ofA; here, a maximal idealUofAis said to be essential ifA/Uis a simplem-aryR-algebra

 

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