Bialgebra structures of 2-associative algebras

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dc.creatorDekkar, Khadra
dc.creatorMakhlouf, Abdenacer
dc.date2008-09-06
dc.date.accessioned2026-07-07T10:01:16Z
dc.date.available2026-07-07T10:01:16Z
dc.descriptionThis work is devoted to study new bialgebra structures related to 2-associative algebras. A 2-associative algebra is a vector space equipped with two associative multiplications. We discuss the notions of 2-associative bialgebras, 2-bialgebras and 2-2-bialgebras. The first structure was revealed by J.-L. Loday and M. Ronco in an analogue of a Cartier-Milnor-Moore theorem, the second was suggested by Loday and the third is a variation of the second one. The main results of this paper are the construction of 2-associative bialgebras, 2-bialgebras and 2-2-bialgebras starting from an associative algebra and the classification of these structures in low dimensions.
dc.identifierhttps://arxiv.org/abs/0809.1144
dc.identifierhttp://arxiv.org/abs/0809.1144
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168578
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.subject16Wxx
dc.titleBialgebra structures of 2-associative algebras
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