Question

Left (resp. right) adjoint functor fully faithful iff unit (resp. counit) isomorphism

score 741 · Answer 1 · 2026-03-27 02:23:29

741

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Left (resp. right) adjoint functor fully faithful iff unit (resp. counit) isomorphism

Published on 27 Mar 2026 - 2:23

score 49 · Answer 2 · 2020-11-20 10:55:54

49

Views

Construct an abelianisation of category of ring

Published on 20 Nov 2020 - 10:55

score 66 · Answer 3 · 2026-03-27 12:12:45

66

Views

A property of adjoint functors via universal morphisms

Published on 27 Mar 2026 - 12:12

score 76 · Answer 4 · 2020-11-24 22:18:07

76

Views

Do the Hausdorff quotient and completely regular modification functors converge?

Published on 24 Nov 2020 - 22:18

score 130 · Answer 5 · 2020-12-04 15:52:36

130

Views

Adjoint functor theorem finite version

Published on 04 Dec 2020 - 15:52

score 232 · Answer 6 · 2020-12-10 21:29:12

232

Views

When is there an adjunction between two categories?

Published on 10 Dec 2020 - 21:29

score 29 · Answer 7 · 2026-03-25 18:49:10

29

Views

Naturality conditions in the definition of adjoint operation

Published on 25 Mar 2026 - 18:49

score 59 · Answer 8 · 2020-12-19 18:09:30

59

Views

Is there a systematic way to find a left adjoint of a given monotone function

Published on 19 Dec 2020 - 18:09

score 413 · Answer 9 · 2020-12-20 21:03:13

413

Views

Why is there a right adjoint and a left adjoint?

Published on 20 Dec 2020 - 21:03

score 104 · Answer 10 · 2020-12-27 01:38:30

104

Views

Can the category of S-local objects be reflective but not a localization by S?

Published on 27 Dec 2020 - 1:38

score 129 · Answer 11 · 2020-12-30 19:42:13

129

Views

Basic question about how to form left adjoint of forgetful functor $U: R\text-\mathrm{Mod}\text-S \to R\text-\mathrm{Mod}$ as tensor product with $S$?

Published on 30 Dec 2020 - 19:42

score 1.1k · Answer 12 · 2021-01-02 11:21:45

1.1k

Views

Is the tensor product of two projective sheaves projective?

Published on 02 Jan 2021 - 11:21

score 293 · Answer 13 · 2021-01-04 16:17:05

293

Views

Intuition about coreflective subcategories.

Published on 04 Jan 2021 - 16:17

score 318 · Answer 14 · 2021-01-07 07:32:14

318

Views

$R, L$ are left and right adjoint in an equivalence of categories.

Published on 07 Jan 2021 - 7:32

score 204 · Answer 15 · 2021-01-10 13:55:10

204

Views

Right adjoint of the induction functor.

Published on 10 Jan 2021 - 13:55

List Question

Left (resp. right) adjoint functor fully faithful iff unit (resp. counit) isomorphism

Construct an abelianisation of category of ring

A property of adjoint functors via universal morphisms

Do the Hausdorff quotient and completely regular modification functors converge?

Adjoint functor theorem finite version

When is there an adjunction between two categories?

Naturality conditions in the definition of adjoint operation

Is there a systematic way to find a left adjoint of a given monotone function

Why is there a right adjoint and a left adjoint?

Can the category of S-local objects be reflective but not a localization by S?

Basic question about how to form left adjoint of forgetful functor $U: R\text-\mathrm{Mod}\text-S \to R\text-\mathrm{Mod}$ as tensor product with $S$?

Is the tensor product of two projective sheaves projective?

Intuition about coreflective subcategories.

$R, L$ are left and right adjoint in an equivalence of categories.

Right adjoint of the induction functor.

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