## New answers tagged abelian-categories

3
votes

### Reference request regarding faithfully exact functors between abelian categories

I found a reference that proves some of the subresults in the question. I also left two comments below the question about places I searched that did NOT contain this result. The reference I found was ...

3
votes

Accepted

### Dual objects in an abelian monoidal category

I get the sense that the OP is a relatively new user of MO and trying to learn about monoidal abelian categories. While the comment gives the core idea answering the OP's question, I wanted to point ...

1
vote

### Is this concept of a left-abelian category studied?

Some notion of this kind exists, see:
Breitsprecher. Lokal endlich prÃ¤sentierbar Grothendieck-Kategorien. Mitt. Math. Sem. Giessen Heft, 85:1â€“25, 1970.
Rump. Locally finitely presented categories of ...

2
votes

### Kernels and cokernels in a quotient of an abelian category

The kernel and cokernel can be defined in any pointed category $\mathcal C$ with finite limits and colimits. Recall that a category is pointed it has an object that is both initial and terminal, and ...

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