Abstract
AbstractHopf algebras allow for useful applications, for example in physics. Yet they also are mathematical objects of considerable theoretical interest and it is this aspect which we want to focus on in this survey. Our intention is to present techniques and results from module and category theory which lead to a deeper understanding of these structures. We begin with recalling parts from module theory which do serve our purpose but which may also find other applications. Eventually the notion of Hopf algebras (in module categories) will be extended to Hopf monads on arbitrary categories.KeywordsHopf AlgebraCommutative RingMonoidal CategoryForgetful FunctorComparison FunctorThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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