A bicomodule is a mathematical structure that combines properties of both left and right modules over a coalgebra or a Hopf algebra. This dual nature allows for interactions between the algebra and the coalgebra, making bicomodules essential in understanding how these structures can be linked and how they operate within their respective categories. Bicomodules are particularly important in the study of duality and representation theory, where they facilitate the exploration of relationships between algebraic entities.
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