List questions from exact-sequence

Published on 25 Aug 2016 - 7:46

64

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Does $0\to L_1\to \tilde{V}\to L_2\to 0$ restrict on a subspace $S$ to $0\to L_1|_S \to \tilde{V}|_S \to L_2|_S\to 0$?

Published on 25 Mar 2026 - 15:44

65

Views

Can anyone tell me why the following map is injective?

Published on 01 Sep 2016 - 4:04

2.2k

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When does an exact sequence split?

Published on 03 Sep 2016 - 10:01

116

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Given a surjective map can we always form an exact sequence?

Published on 12 Sep 2016 - 14:32

66

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Is $Ext^1(A,B)\cong\mathbb{Z}/2$ enough to show two indecomposable modules are isomorphic?

Published on 18 Sep 2016 - 11:02

315

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Short exact sequences of topological groups

Published on 18 Sep 2016 - 15:18

270

Views

Modules projectively equivalent and exact sequences

Published on 20 Sep 2016 - 8:13

259

Views

Koszul complex on Grassmannian

Published on 25 Mar 2026 - 15:45

427

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Split short exact sequence equivalent to internal semidirect product

Published on 20 Sep 2016 - 14:51

79

Views

How to classify the extensions of $A_4$ by $Z / 2Z$?

Published on 25 Mar 2026 - 17:39

401

Views

non-split sequence of torsion-free groups

Published on 27 Sep 2016 - 20:47

489

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Non-Abelian group of order 64 with an order-4 quotient group the Klein four-group

Published on 28 Sep 2016 - 16:44

198

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Construction of an exact sequence $1 \to N_{16} \to G_{64} \to \mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z} \to 1$

Published on 29 Sep 2016 - 22:31

387

Views

Zero and inverse element in abelian group of extensions of modules

Published on 03 Oct 2016 - 9:56

List Question

A statement on exact sequences of R-modules.

Does $0\to L_1\to \tilde{V}\to L_2\to 0$ restrict on a subspace $S$ to $0\to L_1|_S \to \tilde{V}|_S \to L_2|_S\to 0$?

Can anyone tell me why the following map is injective?

When does an exact sequence split?

Given a surjective map can we always form an exact sequence?

Is $Ext^1(A,B)\cong\mathbb{Z}/2$ enough to show two indecomposable modules are isomorphic?

Short exact sequences of topological groups

Modules projectively equivalent and exact sequences

Koszul complex on Grassmannian

Split short exact sequence equivalent to internal semidirect product

How to classify the extensions of $A_4$ by $Z / 2Z$?

non-split sequence of torsion-free groups

Non-Abelian group of order 64 with an order-4 quotient group the Klein four-group

Construction of an exact sequence $1 \to N_{16} \to G_{64} \to \mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z} \to 1$

Zero and inverse element in abelian group of extensions of modules

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