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Functorial constructions for non-associative algebras with applications to quasi-bialgebras

par Ardizzoni, A.;El Kaoutit, L.;Saracco, Paolo
Référence Journal of algebra, 449, page (460-496)
Publication Publié, 2016-03-01

Article révisé par les pairs

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Résumé :

The aim of this paper is to establish a contravariant adjunction between the category of quasi-bialgebras and a suitable full subcategory of dual quasi-bialgebras, adapting the notion of finite dual to this framework. Various functorial constructions involving non-associative algebras and non-coassociative coalgebras are then carried out. Several examples illustrating our methods are expounded as well. © 2015 Elsevier Inc.