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2008 Partial magmatic bialgebras
Emily Burgunder, Ralf Holtkamp
Homology Homotopy Appl. 10(2): 59-81 (2008).

Abstract

A partial magmatic bialgebra, or (T; S)-magmatic bialgebra, where T ⊂ S are subsets of N ≥ 2, is a vector space endowed with an n-ary operation for each n ∈ S and an m-ary co-operation for each m ∈ T satisfying some compatibility and unitary relations. We prove an analogue of the Poincaré-Birkhoff-Witt theorem for these partial magmatic bialgebras.

Citation

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Emily Burgunder. Ralf Holtkamp. "Partial magmatic bialgebras." Homology Homotopy Appl. 10 (2) 59 - 81, 2008.

Information

Published: 2008
First available in Project Euclid: 1 September 2009

zbMATH: 1191.16034
MathSciNet: MR2426129

Subjects:
Primary: 16W30 , 18D50

Keywords: Cartier-Milnor-Moore theorem , Generalized bialgebra , Hopf algebra , MAGMA , non-associative algebra , operad , Poincaré-Birkhoff-Witt theorem

Rights: Copyright © 2008 International Press of Boston

Vol.10 • No. 2 • 2008
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