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.
Naime Ekici; Zehra Velioglu. Direct Limit of Parafree Lie Algebras. Journal of Lie Theory, Tome 25 (2015) no. 2, pp. 477-484. http://geodesic.mathdoc.fr/item/JOLT_2015_25_2_a8/
@article{JOLT_2015_25_2_a8,
author = {Naime Ekici and Zehra Velioglu},
title = {Direct {Limit} of {Parafree} {Lie} {Algebras}},
journal = {Journal of Lie Theory},
pages = {477--484},
year = {2015},
volume = {25},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JOLT_2015_25_2_a8/}
}
TY - JOUR
AU - Naime Ekici
AU - Zehra Velioglu
TI - Direct Limit of Parafree Lie Algebras
JO - Journal of Lie Theory
PY - 2015
SP - 477
EP - 484
VL - 25
IS - 2
UR - http://geodesic.mathdoc.fr/item/JOLT_2015_25_2_a8/
ID - JOLT_2015_25_2_a8
ER -
%0 Journal Article
%A Naime Ekici
%A Zehra Velioglu
%T Direct Limit of Parafree Lie Algebras
%J Journal of Lie Theory
%D 2015
%P 477-484
%V 25
%N 2
%U http://geodesic.mathdoc.fr/item/JOLT_2015_25_2_a8/
%F JOLT_2015_25_2_a8