List questions from homological-algebra

Published on 11 Jun 2019 - 20:39

85

Views

Module over restriction of scalars

Published on 12 Jun 2019 - 7:21

135

Views

Homology with coefficients for $S^n$.

Published on 12 Jun 2019 - 11:43

70

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S.E.S given by: $0 \rightarrow \mathbb{Z} \stackrel{f}{\rightarrow} \mathbb{Z}^3 \stackrel{h}{\rightarrow} H_1(X) \rightarrow 0$

Published on 12 Jun 2019 - 22:19

1k

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Injective resolution of a complex is unique up to homotopy type?

Published on 13 Jun 2019 - 2:05

339

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Show that there exists a pullback square for modules.

Published on 13 Jun 2019 - 13:07

61

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Not understanding the shifting in the index of balancing Tor's proof in Weibel

Published on 13 Jun 2019 - 22:33

110

Views

Is $H_i(Tot(C))\neq 0$($i\geq 0$) with $C$ double complex on upper half plane every arrows are $Z_4\to Z_4$ by 2 multiplication

Published on 14 Jun 2019 - 0:20

160

Views

How to construct base change of cohomology map $H^n(Y,\mathcal{F})\to H^n(X,f^*\mathcal{F})$?

Published on 25 Mar 2026 - 12:41

40

Views

Shifting the nonzero homology

Published on 15 Jun 2019 - 20:37

57

Views

Compute $Tor_i^{\mathbb Z/ 6 \mathbb Z}(\mathbb Z/ 2\mathbb Z, \mathbb Z/ 2\mathbb Z)$

Published on 25 Mar 2026 - 6:02

139

Views

Derived functor for of a projective module.

Published on 25 Mar 2026 - 9:23

107

Views

Bass' formula (homological algebra)

Published on 16 Jun 2019 - 20:45

595

Views

Does the vanishing of the first derived functor really imply a functor is exact?

Published on 25 Mar 2026 - 9:28

281

Views

Definition of term-wise split exact sequences of complexes

Published on 18 Jun 2019 - 13:34

List Question

$\text{Tor}$ and $IJ=I\cap J$: Eisenbud exercice A3.17

Module over restriction of scalars

Homology with coefficients for $S^n$.

S.E.S given by: $0 \rightarrow \mathbb{Z} \stackrel{f}{\rightarrow} \mathbb{Z}^3 \stackrel{h}{\rightarrow} H_1(X) \rightarrow 0$

Injective resolution of a complex is unique up to homotopy type?

Show that there exists a pullback square for modules.

Not understanding the shifting in the index of balancing Tor's proof in Weibel

Is $H_i(Tot(C))\neq 0$($i\geq 0$) with $C$ double complex on upper half plane every arrows are $Z_4\to Z_4$ by 2 multiplication

How to construct base change of cohomology map $H^n(Y,\mathcal{F})\to H^n(X,f^*\mathcal{F})$?

Shifting the nonzero homology

Compute $Tor_i^{\mathbb Z/ 6 \mathbb Z}(\mathbb Z/ 2\mathbb Z, \mathbb Z/ 2\mathbb Z)$

Derived functor for of a projective module.

Bass' formula (homological algebra)

Does the vanishing of the first derived functor really imply a functor is exact?

Definition of term-wise split exact sequences of complexes

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