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In category theory, a branch of mathematics, it is possible to define a concept of dual object generalizing the concept of dual space in linear algebra. A category in which each object has a dual is called autonomous or rigid. ==Definition== Consider an object in a monoidal category . The object is called a left dual of if there exist two morphsims :, called the coevaluation, and , called the evaluation, such that the following two diagrams commute The object is called the right dual of . Left duals are canonically isomorphic when they exist, as are right duals. When ''C'' is braided (or symmetric), every left dual is also a right dual, and vice versa. If we consider a monoidal category as a bicategory with one object, a dual pair is exactly an adjoint pair. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「dual object」の詳細全文を読む スポンサード リンク
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