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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2011, Volume 8, Pages 213–218 (Mi semr318)  
Dual coalgebras of alternative and associative bialgebras

M. E. Goncharovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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Abstract: In this work we consider dual coalgebras of alternative and associative bialgebras. We prove that the dual coalgebra of an alternative (associative) bialgebra is an alternative (associative) bialgebra.
Keywords: альтернативная алгебра, альтернативная коалгебра, неассоциативная коалгебра, биалгебра Ли, дуальная коалгебра.
Received August 18, 2011, published August 22, 2011
Document Type: Article
UDC: 512.554
MSC: 17D05, 16T15
Language: Russian
Citation: M. E. Goncharov, “Dual coalgebras of alternative and associative bialgebras”, Sib. Èlektron. Mat. Izv., 8 (2011), 213–218
Citation in format AMSBIB
\Bibitem{Gon11}
\by M.~E.~Goncharov
\paper Dual coalgebras of alternative and associative bialgebras
\jour Sib. \`Elektron. Mat. Izv.
\yr 2011
\vol 8
\pages 213--218
\mathnet{http://mi.mathnet.ru/semr318}
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