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Strong Hopf modules for weak Hopf quasigroups

2015/05/18 by José Nicanor Alonso Álvarez, Álvarez, José Nicanor Alonso, José Manuel Fernández Vilaboa +3
Mathematics · #16T05 #17A30 #18D10 #20N05 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:16T05 #msc:17A30 #msc:18D10 #msc:20N05

paper · pdf · doi:10.48550/arxiv.1505.04586

arXiv admin note: text overlap with arXiv:1410.2180

arxiv created 2015/05/18 · arxiv updated 2015/05/19

Abstract

In this paper we introduce the category of strong Hopf modules for a weak Hopf quasigroup H in a braided monoidal category. We also prove that this category is equivalent to the category of right modules over the image of the target morphism of H.

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