Last Updated:2025/11/29
Sentence

加群を研究する際、加群を基礎となるアーベル群へ写すような、入力の構造や性質の一部または全部を忘れる関手は、しばしばスカラー乗法などの追加構造を無視してしまうことが多い。

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When studying modules, a forgetful functor from the category of modules to the category of abelian groups often overlooks the additional scalar multiplication structure.

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When studying modules, a forgetful functor from the category of modules to the category of abelian groups often overlooks the additional scalar multiplication structure.

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Related words

forgetful functor

Noun
Japanese Meaning
圏論における『forgetful functor』は、入力の構造や性質の一部またはすべてを無視(削除)して、出力へ写す(写像する)ファンクターを指します。
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加群を研究する際、加群を基礎となるアーベル群へ写すような、入力の構造や性質の一部または全部を忘れる関手は、しばしばスカラー乗法などの追加構造を無視してしまうことが多い。

Related Words

plural

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