query: How do the first three axioms of an abelian category imply that hom-sets are enriched over the monoidal category of abelian groups?
positive_passages.docid: 152678
positive_passages.text: I've read that abelian categories can naturally be enriched in $\mathbf{Ab}.$ How does this actually work?
negative_passages.docid: 124230
negative_passages.text: What is $\operatorname{Hom}_\mathbb{Z}(\mathbb{Q}/\mathbb{Z},\mathbb{Q}/\mathbb{Z})$?
negative_passages.docid: 152212
negative_passages.text: Prove that the natural map $\alpha : \text{Hom}(X,\text{Spec} A) \rightarrow \text{Hom}(A,\Gamma(X,\mathcal{O}_X))$ is an isomorphism
negative_passages.docid: 25567
negative_passages.text: Is there any significance in the order in which group axioms are presented?
negative_passages.docid: 41895
negative_passages.text: Show $\text{Hom}_{Ab}(A,\mathbb{Q}) = \{0\}$ for finite $A$
negative_passages.docid: 130865
negative_passages.text: Why is the axiom of choice separated from the other axioms?
negative_passages.docid: 142887
negative_passages.text: Exercise 1 pg 33 from "Algebra - T. W. Hungerford" - example for a semigroup-hom but not monoid-hom..
negative_passages.docid: 5599
negative_passages.text: Proving an inclusion for the derived group
negative_passages.docid: 32428
negative_passages.text: Group homomorphisms and which of the following statements are true (NBHM-$2014$)
negative_passages.docid: 81762
negative_passages.text: Colimits in that category of short exact sequences of abelian groups
negative_passages.docid: 86823
negative_passages.text: proof verification: If $f:G \rightarrow H$ is group homomorphism, and $H$ is abelian, then $G$ is abelian
negative_passages.docid: 24966
negative_passages.text: Converse of Lagrange's theorem for abelian groups
negative_passages.docid: 122559
negative_passages.text: Some questions on abelian category
negative_passages.docid: 88736
negative_passages.text: How does the Axiom of Extensionality prove the uniqueness of Specified sets?
negative_passages.docid: 121945
negative_passages.text: Monomorphisms and Epimorphisms in the category of small categories
negative_passages.docid: 79914
negative_passages.text: Hom and tensor with a flat module
negative_passages.docid: 28154
negative_passages.text: Riehl's Category Theory in Context - Exercise 2.1.iv.