Geodesic
On some propeties of Lie algebras with cohomologoical dimension one
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 779-783.

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The aim of this paper is to prove the necessary and sufficient condition for Lie algebra with a single defining relation to have cohomological dimension one. 
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     author = {A. V. Seregin},
     title = {On some propeties of {Lie} algebras with cohomologoical dimension one},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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A. V. Seregin. On some propeties of Lie algebras with cohomologoical dimension one. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 779-783. http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a24/