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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 ...
David White's user avatar
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3 votes
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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 ...
David White's user avatar
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1 vote

Is this concept of a left-abelian category studied?

Some notion of this kind exists, see: Breitsprecher. Lokal endlich präsentierbar Grothendieck-Kategorien. Mitt. Math. Sem. Giessen Heft, 85:1–25, 1970. Rump. Locally finitely presented categories of ...
Ivan Di Liberti's user avatar
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 ...
David White's user avatar
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