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Openai/69720c15-a6d0-8005-a3eb-5d3f59195418
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===== 圏論寄り（定義レベル） ===== # 自由対象（Free Object） - 例：自由群、自由モノイド、自由半群 - 「生成元だけ与えて、必要最小限の公理以外は何も課さない対象」 # 自由関手（Free Functor） - 忘却関手 U:C→DU : \mathcal{C} \to \mathcal{D}U:C→D の左随伴 - 「構造を忘れたもの」から「最小限の構造を付け直す」 # 自由モノイド（Free Monoid） - 集合 AAA に対して、リスト A∗A^*A∗ - 結合と単位だけを満たす最小の構造 # 自由圏（Free Category） - 有向グラフから生成される圏 - 合成以外の関係を一切課さない
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