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Free zeropotent left distributive systems

 

作者: Patrick Dehornoy,  

 

期刊: Communications in Algebra  （Taylor Available online 1998）
卷期: Volume 26, issue 6  

页码: 1967-1978

 

ISSN:0092-7872

 

年代: 1998

 

DOI:10.1080/00927879808826252

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

We prove a result conjectured by J.Jeẑek in [9],namely that a zeropotent left self-distributive system need not be 3-trivial, i.e.,the identityx(yz)=0 does not follow from the identitiesx(yz)=(xy)(xz),xx=0 andx0=0x=0.The argument is a general scheme possibly working for various identities in the context of self-distributivity.

 

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