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Degree four identities not implied by commutativity

 

作者: Luisa Carin,   Irvin R. Hentzel,   Giulia Maria Piacentini Cattaneo,  

 

期刊: Communications in Algebra  (Taylor Available online 1988)
卷期: Volume 16, issue 2  

页码: 339-356

 

ISSN:0092-7872

 

年代: 1988

 

DOI:10.1080/00927878808823575

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

We classify all (reducible or irreducible) degree four identities not implied by commutativlty, thus extending [1]. We study one class under the presence of an idempotent. For almost all the algebras of this class, simplicity implies associativity; we find, however, a generalization of right alternativity which contains significant algebras, including simple ones.

 

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