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Test elements for monomorphisms of free lie algebras and lie superalgebras†

 

作者: Alexander A. Mikhalev,   Andrej A. Zolotykh,  

 

期刊: Communications in Algebra  （Taylor Available online 1995）
卷期: Volume 23, issue 13  

页码: 4995-5001

 

ISSN:0092-7872

 

年代: 1995

 

DOI:10.1080/00927879508825513

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

A test criterion for an endomorphism φ of the free Lie (super) algebra L of finite rank to be an automorphism is obtained: φ is an automorphism of L if and only if for an element u ∈ L with the maximal rank the element φ(u) belongs to the orbit of u with respect to the automorphism group of L. In particular, test elements for monomorphisms of L are exactly the elements of the maximal rank

 

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