About: Injective hull

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In mathematics, particularly in algebra, the injective hull (or injective envelope) of a module is both the smallest injective module containing it and the largest essential extension of it. Injective hulls were first described in.

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  • In mathematics, particularly in algebra, the injective hull (or injective envelope) of a module is both the smallest injective module containing it and the largest essential extension of it. Injective hulls were first described in. (en)
  • 代数学において、加群 M の移入包絡 (いにゅうほうらく、英: injective hull、injective envelope) とは、 M を含む最小の移入加群でありかつ M の最大の本質拡大である。 (ja)
  • 在數學中，設 為一個含單位元環 （不一定可交換）上的左模，若左 -模 是內射模，而且滿足下式 （其中 是子模） 則稱 為 的一個內射包。類似定義可以照搬至右模的情況。 若模 的內射包可以寫成的有限直積，則稱 為有限秩的模。 (zh)
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  • In mathematics, particularly in algebra, the injective hull (or injective envelope) of a module is both the smallest injective module containing it and the largest essential extension of it. Injective hulls were first described in. (en)
  • 代数学において、加群 M の移入包絡 (いにゅうほうらく、英: injective hull、injective envelope) とは、 M を含む最小の移入加群でありかつ M の最大の本質拡大である。 (ja)
  • 在數學中，設 為一個含單位元環 （不一定可交換）上的左模，若左 -模 是內射模，而且滿足下式 （其中 是子模） 則稱 為 的一個內射包。類似定義可以照搬至右模的情況。 若模 的內射包可以寫成的有限直積，則稱 為有限秩的模。 (zh)
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  • Injective hull (en)
  • 移入包絡 (ja)
  • 內射包 (zh)
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