List questions from homological-algebra

Published on 04 Apr 2019 - 3:23

113

Views

Showing that the Composition of Boundary Maps of the Koszul Complex is Zero

Published on 04 Apr 2019 - 22:39

85

Views

How to understand $k \otimes_R \alpha \cong k \oplus k$?

Published on 25 Mar 2026 - 6:05

811

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Prove that $2 \otimes 1 \neq 0$ in $2\Bbb Z \otimes {\Bbb Z/2\Bbb Z}$ the tensor is over $\Bbb Z$.

Published on 26 Mar 2026 - 17:42

59

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What do $0$ and $1$ mean in a extension (exact sequence) of group?

Published on 25 Mar 2026 - 23:51

125

Views

Understanding the definition of stabilizing automorphisms of groups

Published on 07 Apr 2019 - 14:07

61

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Invariance of Yoneda product

Published on 22 Mar 2026 - 18:31

592

Views

Weibel Exercise 2.4.3, dimension shift

Published on 25 Mar 2026 - 9:22

84

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Spectral sequence of filtered complex.

Published on 25 Mar 2026 - 11:32

171

Views

Hilbert Syzygy Theorem for non-graded modules

Published on 25 Mar 2026 - 6:24

84

Views

Computing Ext functor when no projective modules are known.

Published on 25 Mar 2026 - 15:54

124

Views

The relation between group extension and factor set

Published on 27 Mar 2026 - 12:20

135

Views

Rank of a free Abelian subgroup gives a lower bound for vcd

Published on 26 Mar 2026 - 1:29

67

Views

In general, what's the relation between $\text{Ext}^n_R(A,B)$ and $\text{Ext}^n_R(B,A)$ (if any)?

Published on 25 Mar 2026 - 6:04

88

Views

If $R$ is a PID then $\mathrm{Spec}(R)\!=\!\mathrm{Max}(R)\!\cup\!\{0\}$?

Published on 16 Apr 2019 - 9:06

List Question

Derived equivalence in Residues and Duality

Showing that the Composition of Boundary Maps of the Koszul Complex is Zero

How to understand $k \otimes_R \alpha \cong k \oplus k$?

Prove that $2 \otimes 1 \neq 0$ in $2\Bbb Z \otimes {\Bbb Z/2\Bbb Z}$ the tensor is over $\Bbb Z$.

What do $0$ and $1$ mean in a extension (exact sequence) of group?

Understanding the definition of stabilizing automorphisms of groups

Invariance of Yoneda product

Weibel Exercise 2.4.3, dimension shift

Spectral sequence of filtered complex.

Hilbert Syzygy Theorem for non-graded modules

Computing Ext functor when no projective modules are known.

The relation between group extension and factor set

Rank of a free Abelian subgroup gives a lower bound for vcd

In general, what's the relation between $\text{Ext}^n_R(A,B)$ and $\text{Ext}^n_R(B,A)$ (if any)?

If $R$ is a PID then $\mathrm{Spec}(R)\!=\!\mathrm{Max}(R)\!\cup\!\{0\}$?

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