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Journal of Lie Theory 25 (2015), No. 2, 477--484
Copyright Heldermann Verlag 2015

Direct Limit of Parafree Lie Algebras

Naime Ekici
Dept. of Mathematics, Cukurova University, 01330 Adana, Turkey

Zehra Velioglu
Harran University, Sanliurfa, Turkey

We consider direct limits of parafree Lie algebras and we prove that the direct limit of any directed system of parafree Lie algebras exists in the variety of parafree Lie algebras.

Keywords: Parafree Lie algebras, free Lie algebras, direct limit.

MSC: 17B99

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