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Communications in Algebra Volume 45, 2017 - Issue 6
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Original Articles

Embedding into 2-generated simple associative (Lie) algebras

Yu LiDepartment of Mathematics, Huizhou University, Huizhou, P. R. China
&
Qiuhui MoDepartment of Mathematics, Huizhou University, Huizhou, P. R. ChinaCorrespondence[email protected]
Pages 2435-2443 | Received 08 Aug 2015, Published online: 07 Oct 2016
 
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ABSTRACT

In this paper, by using Gröbner–Shirshov bases theories, we prove that each countably generated associative algebra (Lie algebra) can be embedded into a simple two-generated associative algebra (Lie algebra).

2010 MATHEMATICS SUBJECT CLASSIFICATION:

Acknowledgement

The authors would like to thank Professor G.M. Bergman for his valuable suggestion.

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