Functorial Constructions for Non-associative Algebras with Applications to Quasi-bialgebras
Quantum Algebra
2019-05-29 v1 Rings and Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.1507.02402,
title = {Functorial Constructions for Non-associative Algebras with Applications to Quasi-bialgebras},
author = {Alessandro Ardizzoni and Laiachi El Kaoutit and Paolo Saracco},
journal= {arXiv preprint arXiv:1507.02402},
year = {2019}
}