List questions from homological-algebra

Published on 13 Apr 2026 - 23:18

266

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Isomorphism of Tor and tor functor

Published on 11 Apr 2026 - 22:42

670

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Differentials on the second page of the spectral sequence of a first quadrant double complex

Published on 10 May 2026 - 12:53

85

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Formula for a simple connecting homomorphism of inclusion

Published on 13 Apr 2026 - 15:09

257

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Homology Groups of a CW-complex

Published on 12 Apr 2026 - 1:16

118

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A left $A$-approximation of a torsionless module

Published on 16 Apr 2026 - 6:56

96

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Hom N-complexes

Published on 15 Apr 2026 - 4:54

63

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Why are additive limit preserving functors left exact?

Published on 10 May 2026 - 19:53

35

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Vanishing of some group homology

Published on 10 May 2026 - 20:40

82

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Naturality of torsion distributing over direct sum

Published on 10 May 2026 - 19:15

491

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Proving that $\operatorname{Tor}_n^R$ is a bifunctor

Published on 06 May 2026 - 12:10

61

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Does $\operatorname{Hom}_{\mathcal B}(\mathcal F-,-)\overset{\sim}\to\operatorname{Hom}_{\mathcal A}(-,\mathcal G -)$ preserve injections/surjections?

Published on 10 May 2026 - 15:52

148

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Is Whitehead lemma true for super Lie algebras?

Published on 11 May 2026 - 6:00

1k

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Why is homology functor additive?

Published on 13 Apr 2026 - 6:49

150

Views

Prove that in the diagram $A_1 \rightleftarrows_{i_{1}}^{\pi_1} A \leftrightarrows_{i_{2}}^{\pi_2}$ we have $A \cong A_1 \oplus A_2$

Published on 13 Apr 2026 - 3:18

List Question

Truncation of an injective resolution

Isomorphism of Tor and tor functor

Differentials on the second page of the spectral sequence of a first quadrant double complex

Formula for a simple connecting homomorphism of inclusion

Homology Groups of a CW-complex

A left $A$-approximation of a torsionless module

Hom N-complexes

Why are additive limit preserving functors left exact?

Vanishing of some group homology

Naturality of torsion distributing over direct sum

Proving that $\operatorname{Tor}_n^R$ is a bifunctor

Does $\operatorname{Hom}_{\mathcal B}(\mathcal F-,-)\overset{\sim}\to\operatorname{Hom}_{\mathcal A}(-,\mathcal G -)$ preserve injections/surjections?

Is Whitehead lemma true for super Lie algebras?

Why is homology functor additive?

Prove that in the diagram $A_1 \rightleftarrows_{i_{1}}^{\pi_1} A \leftrightarrows_{i_{2}}^{\pi_2}$ we have $A \cong A_1 \oplus A_2$

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