query: What is gained by giving categories an identity arrow?
positive_passages.docid: 78609
positive_passages.text: On the identity map requirement in the definition of category
negative_passages.docid: 122559
negative_passages.text: Some questions on abelian category
negative_passages.docid: 87264
negative_passages.text: Are bicategories and lax 2-categories the same?
negative_passages.docid: 132137
negative_passages.text: Concrete Categories Where Epis are Just Surjections
negative_passages.docid: 96558
negative_passages.text: Controlling Categories in Script Validation Tools - Expanding Groups By Default
negative_passages.docid: 68337
negative_passages.text: Is there a wildcard selector for identifiers (id)?
negative_passages.docid: 38533
negative_passages.text: What does "dual statement" mean exactly in category theory?
negative_passages.docid: 122904
negative_passages.text: fall into a category vs. fall under a category
negative_passages.docid: 46732
negative_passages.text: Constructing a function with Flat and OneIdentity attribute with the property that otimes[a]:>a
negative_passages.docid: 109649
negative_passages.text: idempotents acting as local identities
negative_passages.docid: 79478
negative_passages.text: Name for categorical product inside a monoid
negative_passages.docid: 147490
negative_passages.text: If matrix $AB=A$, does it mean B must be an identity matrix?
negative_passages.docid: 43456
negative_passages.text: Can the category of chain complexes be realized as a functor category?
negative_passages.docid: 22298
negative_passages.text: Categorical Pasting Lemma
negative_passages.docid: 72270
negative_passages.text: Why does the arrow (->) operator in C exist?
negative_passages.docid: 101895
negative_passages.text: What is the difference between Scope_Identity(), Identity(), @@Identity, and Ident_Current()?
negative_passages.docid: 123351
negative_passages.text: TikZ: What EXACTLY does the the |- notation for arrows do?