IJPAM: Volume 105, No. 1 (2015)
Department of Mathematics
Abstract. Let be a free Lie algebra of finite rank.
We show that is free abelian of infinite rank and the algebra is finitely generated and then we prove that the algebra is infinitely generated.
Moreover, for sufficiently small values of n we show
Received: November 2, 2015
AMS Subject Classification: 17B01
Key Words and Phrases: free abelian Lie algebra, finitely generated Lie algebra, lower central term
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DOI: 10.12732/ijpam.v105i1.11 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 127 - 131
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