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Systems of linear equations over associative algebras and the occurrence problem for lie algebras

 

作者: C.K. Gupta,   U.U. Umirbaev,  

 

期刊: Communications in Algebra  （Taylor Available online 1999）
卷期: Volume 27, issue 1  

页码: 411-427

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826439

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

In this paper we solve the algorithmic problem of recognizing the compatibility of a system of linear equations over a free associative algebra of the variety 𝔐kdefined by the identity, which is then used to prove that the free 𝔑c𝔄-Lie algebras have the solvable occurrence problem.

 

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