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hereditary category (Definition)
Definition 0.1   Let $\mathcal{C}$ be a locally small $\mathcal{A}b3$-category. A subcategory $\mathcal{A}$ of $\mathcal{C}$ is called hereditary if it verifies the following condition: if $Y$ is an object in a full subcategory $\mathcal{F}$ of $\mathcal{C}$, then any subobject of $Y$ is also in $\mathcal{F}$.



"hereditary category" is owned by bci1.

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Keywords:  hereditary category

Cross-references: object

This is version 1 of hereditary category, born on 2009-02-16.
Object id is 528, canonical name is HereditaryCategory.
Accessed 286 times total.

Classification:
Physics Classification: 00. (GENERAL)
Pending Errata and Addenda
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