This article is cited in 4 papers

Embedding Mal'tsev coalgebras into Lie coalgebras with triality

M. E. Goncharov^ab, V. N. Zhelyabin<sup>ab

a</sup> Novosibirsk State University, Novosibirsk, Russia
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Abstract: 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, Mal'tsev coalgebra, Lie algebra, Lie coalgebra, weakly inner derivation, pseudoderivation.

UDC: 512.554

Received: 28.09.2012

 English version: Algebra and Logic, 2013, 52:1, 24–40

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