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Comodule
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== Rational comodule == If ''M'' is a (right) comodule over the coalgebra ''C'', then ''M'' is a (left) module over the dual algebra ''C''<sup>∗</sup>, but the converse is not true in general: a module over ''C''<sup>∗</sup> is not necessarily a comodule over ''C''. A '''rational comodule''' is a module over ''C''<sup>∗</sup> which becomes a comodule over ''C'' in the natural way.
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