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arXiv · 1703.03229

Fundamental theorems of Doi-Hopf modules in a nonassociative setting

J. N. Alonso Álvarez·J. M. Fernández Vilaboa·R. González Rodríguez
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Abstract

In this paper we introduce the notion of weak non-asssociative Doi-Hopf module and give the Fundamental Theorem of Hopf modules in this setting. Also we prove that there exists a categorical equivalence that admits as particular instances the ones constructed in the literature for Hopf algebras, weak Hopf algebras, Hopf quasigroups, and weak Hopf quasigroups.

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J. N. Alonso Álvarez, J. M. Fernández Vilaboa, R. González Rodríguez. 2017-03-09. Fundamental theorems of Doi-Hopf modules in a nonassociative setting. https://arxiv.org/abs/1703.03229

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