List questions from category-theory

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Axioms of Abelian Category

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If $\Phi: \mathbf{Vec} \rightarrow \mathbf{Vec}$ with $\Phi(V) = V^{\ast\ast}$ and $f: V \rightarrow W$, what is $\Phi(f)$?

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Aluffi: submodule $\Longleftrightarrow$ cokernel?

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Direct sum and direct product of infinitely many abelian groups are not isomorphic

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Colimits in the 2-category of partial functions (which is locally posetal)

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241

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How to prove uniqueness of wannabe final object in a slice category?

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Image under a left adjoint functor

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The Verdier Quotient

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question about monoidal structure of a 2-category

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The ring of idempotents

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factorization of a unit of an adjunction

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(Are there) subtleties in the definition of 'biproduct'

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Recommendation on setting the reference axis for mathematical objects

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Forgetful functor from R-modules to abelian groups?

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List Question

Morita contexts without tears

Axioms of Abelian Category

If $\Phi: \mathbf{Vec} \rightarrow \mathbf{Vec}$ with $\Phi(V) = V^{\ast\ast}$ and $f: V \rightarrow W$, what is $\Phi(f)$?

Aluffi: submodule $\Longleftrightarrow$ cokernel?

Direct sum and direct product of infinitely many abelian groups are not isomorphic

Colimits in the 2-category of partial functions (which is locally posetal)

How to prove uniqueness of wannabe final object in a slice category?

Image under a left adjoint functor

The Verdier Quotient

question about monoidal structure of a 2-category

The ring of idempotents

factorization of a unit of an adjunction

(Are there) subtleties in the definition of 'biproduct'

Recommendation on setting the reference axis for mathematical objects

Forgetful functor from R-modules to abelian groups?

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