Question

Hatcher 2.1.14 last part

score 756 · Answer 1 · 2026-04-15 20:49:16

756

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Hatcher 2.1.14 last part

Published on 15 Apr 2026 - 20:49

score 97 · Answer 2 · 2026-04-14 06:15:06

97

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Does an embedding necessarily make a short exact sequence split?

Published on 14 Apr 2026 - 6:15

score 456 · Answer 3 · 2026-04-15 23:44:05

456

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Pushforward of projection map exact?

Published on 15 Apr 2026 - 23:44

score 289 · Answer 4 · 2026-05-10 15:26:11

289

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$\forall\, 0\to N\to M\to F\to 0 $ exact, $\forall R$-module $E$, $F$ is flat $\implies 0 \to N\otimes E\to M\otimes E\to F\otimes E \to0$ is exact.

Published on 10 May 2026 - 15:26

score 333 · Answer 5 · 2026-04-15 18:10:50

333

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For which abelian groups $G$ is there a short exact sequence $0 \rightarrow \mathbb{Z}/p^2 \rightarrow G \rightarrow \mathbb{Z}/p^2 \rightarrow 0$?

Published on 15 Apr 2026 - 18:10

score 74 · Answer 6 · 2026-04-12 18:35:41

74

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A question on exact sequences

Published on 12 Apr 2026 - 18:35

score 132 · Answer 7 · 2026-04-15 21:04:07

132

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If $0 \to \mathrm{Hom}(M, N') \to \mathrm{Hom}(M, N) \to \mathrm{Hom}(M, N'')$ is exact for all $M$, then $0 \to N' \to N \to N''$ is exact

Published on 15 Apr 2026 - 21:04

score 1k · Answer 8 · 2026-04-13 14:25:11

1k

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A module $B$ is flat if Tor $= 0$

Published on 13 Apr 2026 - 14:25

score 428 · Answer 9 · 2026-04-14 08:59:27

428

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Is additivity necessary for a left exact functor to preserve pullbacks?

Published on 14 Apr 2026 - 8:59

score 63 · Answer 10 · 2026-04-14 00:29:33

63

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C* algebra exact sequences and ideals

Published on 14 Apr 2026 - 0:29

score 126 · Answer 11 · 2026-05-10 20:50:45

126

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Intuition behind exact sequences as extensions in algebraic geometry

Published on 10 May 2026 - 20:50

score 1.2k · Answer 12 · 2026-04-16 08:20:22

1.2k

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(Solved) Exact functors commute with homology

Published on 16 Apr 2026 - 8:20

score 101 · Answer 13 · 2026-04-16 05:50:22

101

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What is $Ext^1(\overline{\mathbb{Q}}^\times, \overline{\mathbb{Q}})$ in abelian groups?

Published on 16 Apr 2026 - 5:50

score 28 · Answer 14 · 2026-04-14 08:13:48

28

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Generating a sequence with resticted growth(trying to undering the math notaion and procedure )

Published on 14 Apr 2026 - 8:13

score 523 · Answer 15 · 2026-04-14 20:01:38

523

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Abelian Group In The Middle Of A Short Exact Sequence

Published on 14 Apr 2026 - 20:01

List Question

Hatcher 2.1.14 last part

Does an embedding necessarily make a short exact sequence split?

Pushforward of projection map exact?

$\forall\, 0\to N\to M\to F\to 0 $ exact, $\forall R$-module $E$, $F$ is flat $\implies 0 \to N\otimes E\to M\otimes E\to F\otimes E \to0$ is exact.

For which abelian groups $G$ is there a short exact sequence $0 \rightarrow \mathbb{Z}/p^2 \rightarrow G \rightarrow \mathbb{Z}/p^2 \rightarrow 0$?

A question on exact sequences

If $0 \to \mathrm{Hom}(M, N') \to \mathrm{Hom}(M, N) \to \mathrm{Hom}(M, N'')$ is exact for all $M$, then $0 \to N' \to N \to N''$ is exact

A module $B$ is flat if Tor $= 0$

Is additivity necessary for a left exact functor to preserve pullbacks?

C* algebra exact sequences and ideals

Intuition behind exact sequences as extensions in algebraic geometry

(Solved) Exact functors commute with homology

What is $Ext^1(\overline{\mathbb{Q}}^\times, \overline{\mathbb{Q}})$ in abelian groups?

Generating a sequence with resticted growth(trying to undering the math notaion and procedure )

Abelian Group In The Middle Of A Short Exact Sequence

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