Question

Does an isomorphism between extension of scalars implies an isomorphism of original modules

score 78 · Answer 1 · 2026-03-26 01:10:44

78

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Does an isomorphism between extension of scalars implies an isomorphism of original modules

Published on 26 Mar 2026 - 1:10

score 100 · Answer 2 · 2022-09-06 04:57:22

100

Views

Extension/restriction of scalar and equivalence of subcategories of module categories

Published on 06 Sep 2022 - 4:57

score 96 · Answer 3 · 2026-02-23 05:13:26

96

Views

What is the most natural way to make a relation into an equivalence relation?

Published on 23 Feb 2026 - 5:13

score 124 · Answer 4 · 2026-03-27 16:27:49

124

Views

Is there a proof that uses (co)ends solely to establish the derived adjoint correspondence of e.g. deformable functors?

Published on 27 Mar 2026 - 16:27

score 184 · Answer 5 · 2026-02-23 08:35:33

184

Views

Adjoint Functor Theorem via Kan extensions?

Published on 23 Feb 2026 - 8:35

score 279 · Answer 6 · 2022-10-12 02:33:53

279

Views

What categorical property make the tensor hom adjunction an isomorphism of (R, S) modules?

Published on 12 Oct 2022 - 2:33

score 58 · Answer 7 · 2026-03-28 07:53:21

58

Views

Reference Request: Adjoint Functors and Universal Morphism

Published on 28 Mar 2026 - 7:53

score 115 · Answer 8 · 2026-03-28 07:57:22

115

Views

The tensor product as a universal morphism

Published on 28 Mar 2026 - 7:57

score 162 · Answer 9 · 2026-02-23 05:12:20

162

Views

Adjoint of forgetful functor on presheaves

Published on 23 Feb 2026 - 5:12

score 163 · Answer 10 · 2022-12-11 13:47:39

163

Views

Does the forgetful functor from $\mathbf{VEC}_{\mathbf{R}}$ to $\mathbf{SET}$ have right adjoint?

Published on 11 Dec 2022 - 13:47

score 65 · Answer 11 · 2022-12-12 21:14:49

65

Views

Free object in the category of (not necessarily strict) monoidal category and lax (resp. oplax) monoidal functors.

Published on 12 Dec 2022 - 21:14

score 81 · Answer 12 · 2026-03-26 02:45:41

81

Views

How to check a morphism is actually a morphism between functors needed to construct an adjoint characteristic

Published on 26 Mar 2026 - 2:45

score 69 · Answer 13 · 2026-03-26 02:41:39

69

Views

Alternative functor construction from universal morphisms

Published on 26 Mar 2026 - 2:41

score 48 · Answer 14 · 2023-01-09 10:34:41

48

Views

adjoint to the inclusion of abelian divisible groups

Published on 09 Jan 2023 - 10:34

score 102 · Answer 15 · 2023-01-14 17:34:57

102

Views

Adjunction from $C$ to $C^{\to}$ and terminal objects

Published on 14 Jan 2023 - 17:34

List Question

Does an isomorphism between extension of scalars implies an isomorphism of original modules

Extension/restriction of scalar and equivalence of subcategories of module categories

What is the most natural way to make a relation into an equivalence relation?

Is there a proof that uses (co)ends solely to establish the derived adjoint correspondence of e.g. deformable functors?

Adjoint Functor Theorem via Kan extensions?

What categorical property make the tensor hom adjunction an isomorphism of (R, S) modules?

Reference Request: Adjoint Functors and Universal Morphism

The tensor product as a universal morphism

Adjoint of forgetful functor on presheaves

Does the forgetful functor from $\mathbf{VEC}_{\mathbf{R}}$ to $\mathbf{SET}$ have right adjoint?

Free object in the category of (not necessarily strict) monoidal category and lax (resp. oplax) monoidal functors.

How to check a morphism is actually a morphism between functors needed to construct an adjoint characteristic

Alternative functor construction from universal morphisms

adjoint to the inclusion of abelian divisible groups

Adjunction from $C$ to $C^{\to}$ and terminal objects

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