Question

In context of CT, Is there some categorical depth to arithmetic beyond being a pedagogical tool for understanding CT?

score 43 · Answer 1 · 2026-04-12 04:34:49

In context of CT, Is there some categorical depth to arithmetic beyond being a pedagogical tool for understanding CT?

score 41 · Answer 2 · 2026-04-16 00:01:15

41

Views

Nakayama's lemma using that $\text{Hom}_R(M,{-})$ preserves filtered colimits of monomorphism

Published on 16 Apr 2026 - 0:01

score 114 · Answer 3 · 2026-04-17 08:03:12

114

Views

$\text{Hom}_R(M,{-})$ commutes with filtered colimits if $\text{Hom}_R(M'',{-})$ and $\text{Hom}_R(M',{-})$ do.

Published on 17 Apr 2026 - 8:03

score 51 · Answer 4 · 2026-04-14 20:52:28

51

Views

Example of a finitely generated module $M$ such that $\text{Hom}_R(M,{-})$ does not commute with filtered colimits

Published on 14 Apr 2026 - 20:52

score 51 · Answer 5 · 2026-04-13 19:37:30

51

Views

Why is $[f(a)]=[0]$ in the proof that coequalizer is onto in category $\textbf{Vect}$

Published on 13 Apr 2026 - 19:37

score 76 · Answer 6 · 2026-04-17 15:56:49

76

Views

Correct definition of projection and injection maps for product and coproduct for the following category?

Published on 17 Apr 2026 - 15:56

score 35 · Answer 7 · 2026-05-06 07:58:47

35

Views

How does ${f_i}^j=\pi_j\cdot f\cdot \text{in}_i$ construct matrices in additive categories?

Published on 06 May 2026 - 7:58

score 103 · Answer 8 · 2026-04-23 20:03:24

103

Views

What are the differences between the following two category theory texts' definition for "Scheme"?

Published on 23 Apr 2026 - 20:03

score 64 · Answer 9 · 2026-05-15 07:40:22

64

Views

Condition for an equivalence of functor categories

Published on 15 May 2026 - 7:40

score 113 · Answer 10 · 2026-04-23 20:08:30

113

Views

Definition of Category in Hungerford’s Abstract Algebra

Published on 23 Apr 2026 - 20:08

score 119 · Answer 11 · 2026-04-23 20:08:30

119

Views

Motivation for the definition for "source" and "sink" in category theory?

Published on 23 Apr 2026 - 20:08

score 60 · Answer 12 · 2026-04-10 12:49:53

60

Views

How are morphisms of sheaves determined by topological morphisms in the category of abstract varieties?

Published on 10 Apr 2026 - 12:49

score 112 · Answer 13 · 2026-04-17 02:05:51

112

Views

The domain functor is a fibration?

Published on 17 Apr 2026 - 2:05

score 80 · Answer 14 · 2026-04-13 10:46:11

80

Views

Is this the the correct way for constructing Coproduct in $\textbf{Vect}$?

Published on 13 Apr 2026 - 10:46

score 50 · Answer 15 · 2026-04-12 15:56:30

50

Views

What conditions can ensure the inverse limits of finite groups over finite posets preserve the exactness?

Published on 12 Apr 2026 - 15:56

List Question

In context of CT, Is there some categorical depth to arithmetic beyond being a pedagogical tool for understanding CT?

Nakayama's lemma using that $\text{Hom}_R(M,{-})$ preserves filtered colimits of monomorphism

$\text{Hom}_R(M,{-})$ commutes with filtered colimits if $\text{Hom}_R(M'',{-})$ and $\text{Hom}_R(M',{-})$ do.

Example of a finitely generated module $M$ such that $\text{Hom}_R(M,{-})$ does not commute with filtered colimits

Why is $[f(a)]=[0]$ in the proof that coequalizer is onto in category $\textbf{Vect}$

Correct definition of projection and injection maps for product and coproduct for the following category?

How does ${f_i}^j=\pi_j\cdot f\cdot \text{in}_i$ construct matrices in additive categories?

What are the differences between the following two category theory texts' definition for "Scheme"?

Condition for an equivalence of functor categories

Definition of Category in Hungerford’s Abstract Algebra

Motivation for the definition for "source" and "sink" in category theory?

How are morphisms of sheaves determined by topological morphisms in the category of abstract varieties?

The domain functor is a fibration?

Is this the the correct way for constructing Coproduct in $\textbf{Vect}$?

What conditions can ensure the inverse limits of finite groups over finite posets preserve the exactness?

Trending Questions

Popular # Hahtags

Popular Questions