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Results tagged with abelian-categories
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user 13767
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What is the universal property of being the maximal common subobject of two objects in a sem...
Imagine a semisimple abelian category $\mathcal{C}$, for example representations of a finite group.
Take two (nonsimple) objects $X, Y$ that are subobjects of a common object $Z$, and decompose them i …
- 5,565
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votes
Accepted
What is the universal property of being the maximal common subobject of two objects in a sem...
One can define the category of subobjects of $Z$, where the objects are subobjects of $Z$ and the morphisms have to commute with the monomorphisms of the subobjects.
In this category, $S$ is simply th …
- 5,565