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Fundamental theorems of Doi-Hopf modules in a nonassociative setting (1703.03229v2)
Published 9 Mar 2017 in math.CT, math.QA, and math.RA
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.