Question

Hatcher 2.1.14 last part

score 753 · Answer 1 · 2018-12-06 20:02:59

753

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Hatcher 2.1.14 last part

Published on 06 Dec 2018 - 20:02

score 94 · Answer 2 · 2018-12-12 10:35:00

94

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Does an embedding necessarily make a short exact sequence split?

Published on 12 Dec 2018 - 10:35

score 453 · Answer 3 · 2018-12-16 20:34:27

453

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Pushforward of projection map exact?

Published on 16 Dec 2018 - 20:34

score 286 · Answer 4 · 2026-03-25 06:22:52

286

Views

$\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 25 Mar 2026 - 6:22

score 330 · Answer 5 · 2018-12-27 01:21:14

330

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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 27 Dec 2018 - 1:21

score 71 · Answer 6 · 2018-12-30 16:23:14

71

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A question on exact sequences

Published on 30 Dec 2018 - 16:23

score 129 · Answer 7 · 2019-01-01 12:02:10

129

Views

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 01 Jan 2019 - 12:02

score 1k · Answer 8 · 2019-01-07 14:40:16

1k

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

Published on 07 Jan 2019 - 14:40

score 426 · Answer 9 · 2026-03-25 10:21:57

426

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

Published on 25 Mar 2026 - 10:21

score 60 · Answer 10 · 2019-01-12 16:29:31

60

Views

C* algebra exact sequences and ideals

Published on 12 Jan 2019 - 16:29

score 123 · Answer 11 · 2026-03-25 14:21:00

123

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Intuition behind exact sequences as extensions in algebraic geometry

Published on 25 Mar 2026 - 14:21

score 1.2k · Answer 12 · 2019-01-20 11:36:36

1.2k

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(Solved) Exact functors commute with homology

Published on 20 Jan 2019 - 11:36

score 98 · Answer 13 · 2019-01-21 10:18:39

98

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

Published on 21 Jan 2019 - 10:18

score 25 · Answer 14 · 2019-01-31 21:45:59

25

Views

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

Published on 31 Jan 2019 - 21:45

score 520 · Answer 15 · 2019-02-02 02:49:15

520

Views

Abelian Group In The Middle Of A Short Exact Sequence

Published on 02 Feb 2019 - 2:49

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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