Question

What does it mean by extending a commutative diagram in Snake Lemma?

score 111 · Answer 1 · 2026-04-11 05:01:36

111

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What does it mean by extending a commutative diagram in Snake Lemma?

Published on 11 Apr 2026 - 5:01

score 61 · Answer 2 · 2026-03-25 17:37:15

61

Views

On the homomorphism as $M_n(A)$-modules.

Published on 25 Mar 2026 - 17:37

score 42 · Answer 3 · 2026-04-14 03:35:17

42

Views

Does this argument use the fact that $\{e_i\}$ is linearly independent at any point?

Published on 14 Apr 2026 - 3:35

score 81 · Answer 4 · 2026-03-25 20:17:05

81

Views

Module over a commutative local ring has nonzero homomorphism

Published on 25 Mar 2026 - 20:17

score 91 · Answer 5 · 2026-04-15 15:31:21

91

Views

How to prove $\lambda:\text{Hom}(A,B)\otimes C\to\text{Hom}(A,B\otimes C)$ determined by $\lambda(f\otimes c)(a)=f(a)\otimes c$ is isomorphism?

Published on 15 Apr 2026 - 15:31

score 63 · Answer 6 · 2026-03-25 10:59:00

How does the following commutative diagram within the following proof match the definition for universal property of the kernel and also what is $g?$

score 22 · Answer 7 · 2026-04-15 22:22:02

22

Views

A $k[[t]]$-algebra is free and finitely generated independently of the $k[[t]]$-algebra structure

Published on 15 Apr 2026 - 22:22

score 67 · Answer 8 · 2026-04-11 04:02:53

67

Views

Ring where finitely generated torsion-free modules over it is free

Published on 11 Apr 2026 - 4:02

score 23 · Answer 9 · 2026-03-25 14:22:07

23

Views

About the regular representation of weak hopf algebra

Published on 25 Mar 2026 - 14:22

score 67 · Answer 10 · 2026-04-15 12:01:37

67

Views

Epimorphism of torsion module

Published on 15 Apr 2026 - 12:01

score 75 · Answer 11 · 2026-03-25 17:40:16

75

Views

How Should I Prove that the Localization of Quotients Commute from here?

Published on 25 Mar 2026 - 17:40

score 117 · Answer 12 · 2026-04-13 16:42:20

117

Views

A ring or a module structure involving Grassmann variables is possible?

Published on 13 Apr 2026 - 16:42

score 94 · Answer 13 · 2026-04-16 04:08:39

94

Views

Does there exists a nontrivial group homomorphism from $\Bbb{Q}/\Bbb{Z}$ to $\Bbb{Z}/2^n\Bbb{Z}$ ($n\in \Bbb{Z}$)?

Published on 16 Apr 2026 - 4:08

score 88 · Answer 14 · 2026-04-15 10:56:30

88

Views

On the adjointness of the inclusion and the zero-homology functor

Published on 15 Apr 2026 - 10:56

score 171 · Answer 15 · 2026-04-13 00:48:46

171

Views

Restriction/Extension of scalars and isomorphism

Published on 13 Apr 2026 - 0:48

List Question

What does it mean by extending a commutative diagram in Snake Lemma?

On the homomorphism as $M_n(A)$-modules.

Does this argument use the fact that $\{e_i\}$ is linearly independent at any point?

Module over a commutative local ring has nonzero homomorphism

How to prove $\lambda:\text{Hom}(A,B)\otimes C\to\text{Hom}(A,B\otimes C)$ determined by $\lambda(f\otimes c)(a)=f(a)\otimes c$ is isomorphism?

How does the following commutative diagram within the following proof match the definition for universal property of the kernel and also what is $g?$

A $k[[t]]$-algebra is free and finitely generated independently of the $k[[t]]$-algebra structure

Ring where finitely generated torsion-free modules over it is free

About the regular representation of weak hopf algebra

Epimorphism of torsion module

How Should I Prove that the Localization of Quotients Commute from here?

A ring or a module structure involving Grassmann variables is possible?

Does there exists a nontrivial group homomorphism from $\Bbb{Q}/\Bbb{Z}$ to $\Bbb{Z}/2^n\Bbb{Z}$ ($n\in \Bbb{Z}$)?

On the adjointness of the inclusion and the zero-homology functor

Restriction/Extension of scalars and isomorphism

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