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Antipodes, preantipodes and Frobenius functors

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 نشر من قبل Paolo Saracco
 تاريخ النشر 2019
  مجال البحث
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 تأليف Paolo Saracco




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We prove that a quasi-bialgebra admits a preantipode if and only if the associated free quasi-Hopf bimodule functor is Frobenius, if and only if the relative (opmonoidal) monad is a Hopf monad. The same results hold in particular for a bialgebra, tightening the connection between Hopf and Frobenius properties.



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