List questions from exact-sequence

Published on 22 Nov 2015 - 12:24

290

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For finitely generated $B$ all modules in exact sequence are finitely generated in PID

Published on 27 Mar 2026 - 21:23

2.6k

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A short exact sequence of abelian groups induces a long exact sequence in (co)homology with coefficients

Published on 23 Nov 2015 - 6:59

188

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Short exact sequences for amalgameted free products and HNN Extensions

Published on 28 Mar 2026 - 2:29

116

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$\mathbb {Z}/\mathbb{Z}$ isomorphic to $\mathbb{Z}$?

Published on 25 Nov 2015 - 11:09

203

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Why is the sequence exact?

Published on 25 Nov 2015 - 14:50

118

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Wiki on exact sequences in regular categories

Published on 27 Mar 2026 - 16:48

283

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Isomorphisms Between some terms of a Long Exact Sequence

Published on 09 Mar 2026 - 4:34

210

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Extending coboundary to cocycle

Published on 27 Nov 2015 - 17:52

7.1k

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Canonical sheaf projective bundle

Published on 26 Mar 2026 - 12:08

411

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induced sequence of an exact sequence of G-modules

Published on 08 Dec 2015 - 17:39

278

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Projective objects of chain category

Published on 29 Mar 2026 - 13:22

99

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functor $F$ satisfies $kerF(f)\cong F(ker(f))$. $0\to M'\to M\to M''$ exact => $0\to F(M')\to F(M)\to F(M'')$ exact?

Published on 13 Dec 2015 - 17:42

318

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Does $\cdots \to G_1\overset f\to G_2 \overset g\to G_3\to \cdots$ exact imply $0\to \ker(g) \to G_2 \to \operatorname{coker}(f)\to 0$ exact?

Published on 22 Dec 2015 - 6:51

90

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Morphisms between long exakt sequences

Published on 24 Dec 2015 - 16:13

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Proving that the diagram commutes

For finitely generated $B$ all modules in exact sequence are finitely generated in PID

A short exact sequence of abelian groups induces a long exact sequence in (co)homology with coefficients

Short exact sequences for amalgameted free products and HNN Extensions

$\mathbb {Z}/\mathbb{Z}$ isomorphic to $\mathbb{Z}$?

Why is the sequence exact?

Wiki on exact sequences in regular categories

Isomorphisms Between some terms of a Long Exact Sequence

Extending coboundary to cocycle

Canonical sheaf projective bundle

induced sequence of an exact sequence of G-modules

Projective objects of chain category

functor $F$ satisfies $kerF(f)\cong F(ker(f))$. $0\to M'\to M\to M''$ exact => $0\to F(M')\to F(M)\to F(M'')$ exact?

Does $\cdots \to G_1\overset f\to G_2 \overset g\to G_3\to \cdots$ exact imply $0\to \ker(g) \to G_2 \to \operatorname{coker}(f)\to 0$ exact?

Morphisms between long exakt sequences

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