Question

Show the induced sequence $A\otimes G \to B\otimes G\to C\otimes G \to 0$ is exact, how do we use the cokernel?

score 40 · Answer 1 · 2026-03-27 15:05:36

40

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Show the induced sequence $A\otimes G \to B\otimes G\to C\otimes G \to 0$ is exact, how do we use the cokernel?

Published on 27 Mar 2026 - 15:05

score 62 · Answer 2 · 2026-03-28 03:03:08

62

Views

If $f:R\to S$ is an $R$-algebra and $P$ is a projective $S$-module, then $pd_R(P)\le pd_R(S)$.

Published on 28 Mar 2026 - 3:03

score 131 · Answer 3 · 2026-03-27 15:05:33

131

Views

Constructing the inverse of a surjective homomorphism $g\otimes \operatorname{id}\colon B\otimes G \to C\otimes G$

Published on 27 Mar 2026 - 15:05

score 63 · Answer 4 · 2026-03-27 16:37:21

63

Views

Five term exact sequence - basis for the middle when I understand the rest?

Published on 27 Mar 2026 - 16:37

score 96 · Answer 5 · 2020-06-25 09:29:52

96

Views

Free resolution by $A$-bimodules

Published on 25 Jun 2020 - 9:29

score 137 · Answer 6 · 2026-03-25 15:42:19

137

Views

Can two elements of an Ext group come from the same middle object of an SES?

Published on 25 Mar 2026 - 15:42

score 124 · Answer 7 · 2026-03-27 02:34:23

124

Views

Is group cohomology more about G-modules than about groups?

Published on 27 Mar 2026 - 2:34

score 116 · Answer 8 · 2020-06-27 11:14:57

116

Views

$p$-adic and mod $p$ relation on tensor

Published on 27 Jun 2020 - 11:14

score 194 · Answer 9 · 2020-06-28 01:40:33

194

Views

Computation of $\mathrm{Ext}_R(R[x^{-1}],M)$

Published on 28 Jun 2020 - 1:40

score 63 · Answer 10 · 2026-03-26 14:31:58

63

Views

Does $\operatorname{ker} \partial_n \to C_n$ being injective imply that $\operatorname{ker}\otimes G \to C_n\otimes G$ is injective?

Published on 26 Mar 2026 - 14:31

score 220 · Answer 11 · 2020-06-28 03:26:50

220

Views

Proof of the existence of Moore spaces.

Published on 28 Jun 2020 - 3:26

score 73 · Answer 12 · 2026-03-25 04:43:33

73

Views

Depth of tensor product of modules which are locally free on the punctured spectrum of regular local ring

Published on 25 Mar 2026 - 4:43

score 182 · Answer 13 · 2026-03-27 17:53:08

182

Views

Alternating sum of length of homologies of chain complexes of modules

Published on 27 Mar 2026 - 17:53

score 79 · Answer 14 · 2026-04-02 23:09:40

79

Views

$K$-group of category of bounded chain complexes of free modules with finite length homologies

Published on 02 Apr 2026 - 23:09

score 80 · Answer 15 · 2020-06-29 12:47:04

80

Views

On the factorial and singular locus of $\mathbb C[[x,y,z,w]]/(x^2-yz)$

Published on 29 Jun 2020 - 12:47

List Question

Show the induced sequence $A\otimes G \to B\otimes G\to C\otimes G \to 0$ is exact, how do we use the cokernel?

If $f:R\to S$ is an $R$-algebra and $P$ is a projective $S$-module, then $pd_R(P)\le pd_R(S)$.

Constructing the inverse of a surjective homomorphism $g\otimes \operatorname{id}\colon B\otimes G \to C\otimes G$

Five term exact sequence - basis for the middle when I understand the rest?

Free resolution by $A$-bimodules

Can two elements of an Ext group come from the same middle object of an SES?

Is group cohomology more about G-modules than about groups?

$p$-adic and mod $p$ relation on tensor

Computation of $\mathrm{Ext}_R(R[x^{-1}],M)$

Does $\operatorname{ker} \partial_n \to C_n$ being injective imply that $\operatorname{ker}\otimes G \to C_n\otimes G$ is injective?

Proof of the existence of Moore spaces.

Depth of tensor product of modules which are locally free on the punctured spectrum of regular local ring

Alternating sum of length of homologies of chain complexes of modules

$K$-group of category of bounded chain complexes of free modules with finite length homologies

On the factorial and singular locus of $\mathbb C[[x,y,z,w]]/(x^2-yz)$

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