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15
Math.TechQA.Club
2026-04-15 04:33:09
100
Views
Start of the proof that there is a functor Ring $\rightarrow$ Grp that sends a ring $R$ to its group of units $R^×$
Published on
15 Apr 2026 - 4:33
#ring-theory
#solution-verification
#category-theory
#functors
67
Views
How do I complete the proof of the composition rule for the functor that sends a ring $R$ to its group of units $R^×$?
Published on
12 Apr 2026 - 4:10
#abstract-algebra
#ring-theory
#category-theory
#functors
62
Views
Small question about contravariant functors
Published on
12 Apr 2026 - 21:55
#category-theory
#functors
#ring-homomorphism
199
Views
Proving that there is a functor $F: Grp \rightarrow Ab$ s.t $F(G)=G_{ab}$- How to deal with the quotient?
Published on
15 Apr 2026 - 0:06
#abstract-algebra
#group-theory
#category-theory
#abelian-groups
#functors
26
Views
Duality in extension groups of $k$-linear abelian categories
Published on
11 Apr 2026 - 17:32
#category-theory
#exact-sequence
#abelian-categories
173
Views
Proving comonad identities related to internal category
Published on
11 May 2026 - 7:47
#category-theory
#adjoint-functors
#monads
65
Views
Are all endomorphism identities in a category?
Published on
16 Apr 2026 - 18:01
#abstract-algebra
#category-theory
159
Views
Size-issues in the definition of categorical limits
Published on
08 Apr 2026 - 21:17
#abstract-algebra
#category-theory
#definition
#limits-colimits
#functors
95
Views
Category of Vector Bundles
Published on
16 Apr 2026 - 17:04
#category-theory
#vector-bundles
56
Views
Knowledge graphs, logic and categories recommendation
Published on
14 Apr 2026 - 12:24
#logic
#graph-theory
#category-theory
#type-theory
46
Views
Can categories with suspension be considered as Cat-enriched presheaves over certain strict 2-category?
Published on
10 May 2026 - 16:20
#category-theory
#stable-homotopy-theory
#enriched-category-theory
#2-categories
39
Views
Functor $\text{Ext}^{1}(A,-)$, equivalent interpretations (i) group of equivalence classes of short exact sequences, (2) measurement of non-exactnesss
Published on
16 Apr 2026 - 7:50
#category-theory
#abelian-categories
89
Views
Reconstruction of commutative differential graded algebras
Published on
11 Apr 2026 - 19:24
#abstract-algebra
#ring-theory
#category-theory
#higher-category-theory
181
Views
What is the most diagrammatic proof that $gf = 0 \implies \text{im } f \subset \ker g$?
Published on
11 May 2026 - 5:06
#commutative-algebra
#category-theory
#homology-cohomology
#visualization
#diagram-chasing
77
Views
Morita theory for presheaf (functor) categories
Published on
15 May 2026 - 9:46
#category-theory
#morita-equivalence
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