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15
Math.TechQA.Club
2024-02-17 11:25:31
26
Views
If $A$ and $B$ are dualizable objects in a monoidal category, is the unit of the one duality the inverse of the counit of the other duality?
Published on
17 Feb 2024 - 11:25
#category-theory
#duality-theorems
#adjoint-functors
#monoidal-categories
86
Views
On the right adjoint of the derived pushforward of a proper birational morphism of Noetherian quasi-separated schemes
Published on
26 Mar 2026 - 3:08
#algebraic-geometry
#schemes
#adjoint-functors
#derived-categories
#quasicoherent-sheaves
49
Views
Some questions on derived pull-back and push-forward functors of proper birational morphism of Noetherian quasi-separated schemes
Published on
22 Feb 2024 - 2:17
#algebraic-geometry
#reference-request
#schemes
#adjoint-functors
#derived-categories
119
Views
What's the point of naturality in the definition of an adjunction?
Published on
22 Feb 2024 - 8:48
#category-theory
#adjoint-functors
54
Views
Let $R$ be a commutative ring and $A,B,C$ be $R$-modules, $A$ finitely presented, $C$ flat. Then Hom$(A,B\otimes C)\cong\text{Hom}(A,B)\otimes C$
Published on
27 Feb 2024 - 7:51
#modules
#tensor-products
#adjoint-functors
69
Views
Waldhausen's $S.$ construction as an adjoint
Published on
25 Mar 2026 - 9:36
#adjoint-functors
#higher-category-theory
#algebraic-k-theory
34
Views
Let $M$ be an $A,B$-bimodule, $C$ ring. The functor $\text{Hom}_A(-,M)$, from the opp category of $A,C$-bimodules to $C,B$-bimodules, has left adjoint
Published on
28 Feb 2024 - 7:49
#category-theory
#modules
#adjoint-functors
38
Views
Prove that an (additive) functor $F$ between abelian categories (categories of modules) that admits an exact left adjoint must preserve injectives
Published on
28 Feb 2024 - 8:04
#category-theory
#exact-sequence
#abelian-categories
#limits-colimits
#adjoint-functors
32
Views
Are right-adjoints of a forgetful functor reflectors?
Published on
23 Feb 2026 - 3:30
#category-theory
#terminology
#free-groups
#adjoint-functors
#forgetful-functors
16
Views
Left adjoint of an additive functor between triangulated categories that commute with shift
Published on
09 Mar 2026 - 6:41
#adjoint-functors
#triangulated-categories
#additive-categories
64
Views
Why does this specific adjoint chain come up for different categories?
Published on
23 Feb 2026 - 3:24
#category-theory
#adjoint-functors
#forgetful-functors
27
Views
Show that if $G$ is the right adjoint of restriction-of-scalars along any ring homomorphisms $A\to B$, then $G$ is always a monomorphism
Published on
25 Mar 2026 - 9:29
#category-theory
#modules
#adjoint-functors
#injective-module
#monomorphisms
1.2k
Views
A functor that has both left and right adjoints
Published on
07 Jan 2015 - 13:08
#category-theory
#adjoint-functors
73
Views
Universality of tensor product from monoidal structure
Published on
27 Jan 2015 - 21:26
#category-theory
#abelian-groups
#tensor-products
#monoidal-categories
#adjoint-functors
134
Views
Functors adjoint from both sides
Published on
07 Feb 2015 - 14:11
#category-theory
#adjoint-functors
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