Question

Naturality of the ker-coker sequence of snake lemma in an abelian category

score 425 · Answer 1 · 2026-04-26 12:56:49

425

Views

Naturality of the ker-coker sequence of snake lemma in an abelian category

Published on 26 Apr 2026 - 12:56

score 87 · Answer 2 · 2026-03-25 07:42:22

87

Views

Creation of limits and diagram chasing

Published on 25 Mar 2026 - 7:42

score 90 · Answer 3 · 2026-04-11 05:11:35

90

Views

Doubt on a particular commutative diagram using the Tensor Product construction

Published on 11 Apr 2026 - 5:11

score 109 · Answer 4 · 2026-03-25 07:43:38

109

Views

How should I proceed with diagram chasing in this commutative diagram?

Published on 25 Mar 2026 - 7:43

score 171 · Answer 5 · 2026-04-27 14:25:59

171

Views

Category with multiple classes/types/labelled morphisms?

Published on 27 Apr 2026 - 14:25

score 177 · Answer 6 · 2026-04-13 19:03:37

177

Views

$a \times \mathbf 1 \cong a$ in categories admitting products and having a terminal object $\mathbf 1$

Published on 13 Apr 2026 - 19:03

score 121 · Answer 7 · 2026-03-25 07:44:53

121

Views

Suppose that $g$ is isomorphism. Then prove that $f$ is monic and $h$ is epic.

Published on 25 Mar 2026 - 7:44

score 377 · Answer 8 · 2026-04-29 12:51:31

377

Views

any cofibration $i:A \to B$ is a homeomorphism onto its image (question regarding the inverse map)

Published on 29 Apr 2026 - 12:51

score 37 · Answer 9 · 2026-03-25 09:26:57

37

Views

Proving simplicial homology is preserved on mapping?

Published on 25 Mar 2026 - 9:26

score 71 · Answer 10 · 2026-03-25 07:45:53

71

Views

Show that $\ker\sigma \subset \varphi_1(\ker\rho)$ and $\operatorname{im}\tau \subset \psi_2(\operatorname{im}\sigma)$.

Published on 25 Mar 2026 - 7:45

score 55 · Answer 11 · 2026-03-25 07:46:22

55

Views

Two homomorphisms $f\colon A\to A',\ g\colon B\to B'$ induce a homomorphism $f \otimes g: A\otimes B \to A'\otimes B'$

Published on 25 Mar 2026 - 7:46

score 231 · Answer 12 · 2026-04-25 14:31:30

231

Views

What is a clear, elegant proof that $\text{Hom}(\cdot, Y)$ is a right-exact functor in a category of modules?

Published on 25 Apr 2026 - 14:31

score 70 · Answer 13 · 2026-03-25 07:44:48

70

Views

Can one obtain from the following diagram that the map $f_3$ is injective?

Published on 25 Mar 2026 - 7:44

score 91 · Answer 14 · 2026-03-25 07:45:34

91

Views

Equaliser of homomorphism of integers

Published on 25 Mar 2026 - 7:45

score 567 · Answer 15 · 2026-03-25 07:41:40

567

Views

Diagram chasing in Abelian categories?

Published on 25 Mar 2026 - 7:41

List Question

Naturality of the ker-coker sequence of snake lemma in an abelian category

Creation of limits and diagram chasing

Doubt on a particular commutative diagram using the Tensor Product construction

How should I proceed with diagram chasing in this commutative diagram?

Category with multiple classes/types/labelled morphisms?

$a \times \mathbf 1 \cong a$ in categories admitting products and having a terminal object $\mathbf 1$

Suppose that $g$ is isomorphism. Then prove that $f$ is monic and $h$ is epic.

any cofibration $i:A \to B$ is a homeomorphism onto its image (question regarding the inverse map)

Proving simplicial homology is preserved on mapping?

Show that $\ker\sigma \subset \varphi_1(\ker\rho)$ and $\operatorname{im}\tau \subset \psi_2(\operatorname{im}\sigma)$.

Two homomorphisms $f\colon A\to A',\ g\colon B\to B'$ induce a homomorphism $f \otimes g: A\otimes B \to A'\otimes B'$

What is a clear, elegant proof that $\text{Hom}(\cdot, Y)$ is a right-exact functor in a category of modules?

Can one obtain from the following diagram that the map $f_3$ is injective?

Equaliser of homomorphism of integers

Diagram chasing in Abelian categories?

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