Question

If $K$ is a field then $\frac{K[x_1,x_2,...,x_n]}{(x_1-\alpha_1,...,x_i-\alpha_i)}\cong K[x_{i+1},...,x_n]$

score 41 · Answer 1 · 2019-04-16 10:52:22

41

Views

If $K$ is a field then $\frac{K[x_1,x_2,...,x_n]}{(x_1-\alpha_1,...,x_i-\alpha_i)}\cong K[x_{i+1},...,x_n]$

Published on 16 Apr 2019 - 10:52

score 206 · Answer 2 · 2026-03-25 10:15:43

206

Views

Projective modules in long exact sequences

Published on 25 Mar 2026 - 10:15

score 28 · Answer 3 · 2019-04-17 10:14:25

28

Views

A particular complex of integral group ring is exact: proof of Jacobson

Published on 17 Apr 2019 - 10:14

score 79 · Answer 4 · 2019-04-17 17:43:09

79

Views

Prove that there is a long exact sequence $\ldots → H_k(X) \overset{2}\to H_k(X) → H_k(X;\Bbb Z/2) → H_ {k−1} (X) → · · ·$

Published on 17 Apr 2019 - 17:43

score 41 · Answer 5 · 2019-04-18 09:15:03

41

Views

Example of non-hereditary cotorsion pair?

Published on 18 Apr 2019 - 9:15

score 86 · Answer 6 · 2019-04-20 14:25:35

86

Views

Bar resolution and the morphisms define on $B_n$(free module)

Published on 20 Apr 2019 - 14:25

score 100 · Answer 7 · 2019-04-21 18:17:13

100

Views

Question on why a particular quasi-isomorphism between complexes doens't have an inverse

Published on 21 Apr 2019 - 18:17

score 419 · Answer 8 · 2026-03-29 19:42:43

419

Views

Enough injectives in the category of torsion abelian groups

Published on 29 Mar 2026 - 19:42

score 171 · Answer 9 · 2026-03-25 11:26:26

171

Views

Singular Cohomology satisfies the Mittag-Leffler Condition on CW complexes?

Published on 25 Mar 2026 - 11:26

score 135 · Answer 10 · 2019-04-23 03:21:32

135

Views

if $\operatorname{Hom}(A,\mathbb{Q})=0$ and $\operatorname{Ext}(A,\mathbb{Z}_p)=\operatorname{Hom}(A,\mathbb{Z}_p)=0$ implies $A=0$

Published on 23 Apr 2019 - 3:21

score 81 · Answer 11 · 2019-04-23 03:45:38

81

Views

(Sup) property for an abelian category

Published on 23 Apr 2019 - 3:45

score 83 · Answer 12 · 2026-03-30 22:39:47

83

Views

When does a fibration $f:X\rightarrow Y$ in a model category admit a section?.

Published on 30 Mar 2026 - 22:39

score 191 · Answer 13 · 2019-04-23 12:39:56

191

Views

Quasi-isomorphism to free chain complex

Published on 23 Apr 2019 - 12:39

score 62 · Answer 14 · 2026-03-26 01:28:50

62

Views

Help understanding a theorem about group homology $H_0$

Published on 26 Mar 2026 - 1:28

score 72 · Answer 15 · 2026-03-26 01:28:12

72

Views

$H^2(G;\mathbb Z) \cong H^1(G;\mathbb {C}^*)$.

Published on 26 Mar 2026 - 1:28

List Question

If $K$ is a field then $\frac{K[x_1,x_2,...,x_n]}{(x_1-\alpha_1,...,x_i-\alpha_i)}\cong K[x_{i+1},...,x_n]$

Projective modules in long exact sequences

A particular complex of integral group ring is exact: proof of Jacobson

Prove that there is a long exact sequence $\ldots → H_k(X) \overset{2}\to H_k(X) → H_k(X;\Bbb Z/2) → H_ {k−1} (X) → · · ·$

Example of non-hereditary cotorsion pair?

Bar resolution and the morphisms define on $B_n$(free module)

Question on why a particular quasi-isomorphism between complexes doens't have an inverse

Enough injectives in the category of torsion abelian groups

Singular Cohomology satisfies the Mittag-Leffler Condition on CW complexes?

if $\operatorname{Hom}(A,\mathbb{Q})=0$ and $\operatorname{Ext}(A,\mathbb{Z}_p)=\operatorname{Hom}(A,\mathbb{Z}_p)=0$ implies $A=0$

(Sup) property for an abelian category

When does a fibration $f:X\rightarrow Y$ in a model category admit a section?.

Quasi-isomorphism to free chain complex

Help understanding a theorem about group homology $H_0$

$H^2(G;\mathbb Z) \cong H^1(G;\mathbb {C}^*)$.

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