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Subalgebras of free leibniz algebras

 

作者: Alexander A. Mikhalev,   Ualbai U. Umirbaev,  

 

期刊: Communications in Algebra  （Taylor Available online 1998）
卷期: Volume 26, issue 2  

页码: 435-446

 

ISSN:0092-7872

 

年代: 1998

 

DOI:10.1080/00927879808826139

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

Leibniz algebras are in some sense non-(anti)commutative analogs of Lie algebras. The variety of all Lie algebras has the Schreier property (i.e. any subalgebra of the free algebra is free). This is not the case in the variety of all Leibniz algebras. Nevertheless we prove that:

 

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