Geodesic
Embedding Mal'tsev coalgebras into Lie coalgebras with triality
Algebra i logika, Tome 52 (2013) no. 1, pp. 34-56

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that any Mal'tsev coalgebra embeds in a Lie coalgebra with triality. Thus Mikheev's known result for Mal'tsev algebras is fully extended to Mal'tsev coalgebras.
Keywords: Mal'tsev algebra, Lie algebra, weakly inner derivation
Mots-clés : Mal'tsev coalgebra, Lie coalgebra, pseudoderivation. 
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     author = {M. E. Goncharov and V. N. Zhelyabin},
     title = {Embedding {Mal'tsev} coalgebras into {Lie} coalgebras with triality},
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M. E. Goncharov; V. N. Zhelyabin. Embedding Mal'tsev coalgebras into Lie coalgebras with triality. Algebra i logika, Tome 52 (2013) no. 1, pp. 34-56. http://geodesic.mathdoc.fr/item/AL_2013_52_1_a2/