List questions from homological-algebra

Published on 28 Mar 2026 - 0:41

65

Views

Why is $Tor_0^R(M,N)=0$?

Published on 07 Mar 2019 - 15:50

302

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A consequence of Schanuel's lemma

Published on 26 Mar 2026 - 1:28

154

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Chain complexes, homology and homotopy type.

Published on 09 Mar 2019 - 17:36

513

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Abelian group structure of the additive category

Published on 29 Mar 2026 - 15:45

67

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"If $g$ is semisimple, It is not too hard to see that $H^2(g,a)=0$. With a little supplementary argument..."

Published on 27 Mar 2026 - 12:03

221

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The first derived limit of an inverse system of groups

Published on 11 Mar 2019 - 0:07

274

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How should I understand "a finitely generated module is too small to be injective"?

Published on 11 Mar 2019 - 3:27

128

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if $C$ is a filtered coalgebra, does Gr($B\Omega C)\backsimeq B\Omega ($Gr $C)$ hold?

Published on 20 Mar 2026 - 10:12

71

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When The FP-injective cover of module is surjective

Published on 12 Mar 2019 - 19:57

52

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Modifying long exact sequences

Published on 25 Mar 2026 - 22:24

238

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Vanishing of $\mathrm{Ext}$ and finite projective dimension

Published on 27 Mar 2026 - 4:34

336

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Sign convention for total complex

Published on 14 Mar 2019 - 9:48

82

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Isomorphism between injective resolution

Published on 25 Mar 2026 - 22:24

295

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Right derived functors of the $I$-torsion functor and $\varinjlim \mathrm{Ext}^i_R(R/I^n,-)$ are naturally isomorphic?

Published on 25 Mar 2026 - 7:45

List Question

On the natural isomorphism between $I$-torsion functor and direct limit of $\mathrm{Hom}$ functor

Why is $Tor_0^R(M,N)=0$?

A consequence of Schanuel's lemma

Chain complexes, homology and homotopy type.

Abelian group structure of the additive category

"If $g$ is semisimple, It is not too hard to see that $H^2(g,a)=0$. With a little supplementary argument..."

The first derived limit of an inverse system of groups

How should I understand "a finitely generated module is too small to be injective"?

if $C$ is a filtered coalgebra, does Gr($B\Omega C)\backsimeq B\Omega ($Gr $C)$ hold?

When The FP-injective cover of module is surjective

Modifying long exact sequences

Vanishing of $\mathrm{Ext}$ and finite projective dimension

Sign convention for total complex

Isomorphism between injective resolution

Right derived functors of the $I$-torsion functor and $\varinjlim \mathrm{Ext}^i_R(R/I^n,-)$ are naturally isomorphic?

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