Question

How do you use the universal property of tensor products to prove the external direct sum is unique?

score 96 · Answer 1 · 2016-10-22 06:42:21

96

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How do you use the universal property of tensor products to prove the external direct sum is unique?

Published on 22 Oct 2016 - 6:42

score 144 · Answer 2 · 2016-10-23 00:28:46

144

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$\mathrm{Hom}(\lim_IA_i,B)=\mathrm{colim}_I(\mathrm{Hom}(A_i,B))$?

Published on 23 Oct 2016 - 0:28

score 372 · Answer 3 · 2026-03-26 12:51:39

372

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Can a nonzero module be cocompact?

Published on 26 Mar 2026 - 12:51

score 218 · Answer 4 · 2016-10-23 15:33:00

218

Views

Categorical proof of a property of direct limits of abelian groups

Published on 23 Oct 2016 - 15:33

score 70 · Answer 5 · 2026-03-25 22:23:29

70

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Value of a left exact functor on a filtered object

Published on 25 Mar 2026 - 22:23

score 88 · Answer 6 · 2026-03-26 16:07:00

88

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How to prove $Hom_A(P_0,X),Hom_A(P_1,X)$ are injective right $R$-modules?

Published on 26 Mar 2026 - 16:07

score 154 · Answer 7 · 2026-03-25 19:02:09

154

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A sequence of functor comes from derived functor

Published on 25 Mar 2026 - 19:02

score 66 · Answer 8 · 2016-10-26 14:08:28

66

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Need help understanding pushouts with an example.

Published on 26 Oct 2016 - 14:08

score 44 · Answer 9 · 2016-10-27 08:50:12

44

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understanding how a cohomlogy functor can be a right derived functor of a left exact functor

Published on 27 Oct 2016 - 8:50

score 78 · Answer 10 · 2016-10-29 04:16:27

78

Views

$\text{Hom}_{A \otimes_K L}(P \otimes_K L, P \otimes_K L) \cong \text{Hom}_{A}(P,P) \otimes_K \text{Hom}_{L}(L,L)$?

Published on 29 Oct 2016 - 4:16

score 118 · Answer 11 · 2016-10-29 09:21:58

118

Views

Need help proving the the pull back diagram below gives us an isomorphism $\ker(g)\to \ker(\alpha)$?.

Published on 29 Oct 2016 - 9:21

score 206 · Answer 12 · 2016-10-29 11:46:56

206

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Explicit boundary maps for group homology via standard complex.

Published on 29 Oct 2016 - 11:46

score 84 · Answer 13 · 2016-10-30 17:27:13

84

Views

Question on notation from Eisenbud's Commutative algebra - (x:y)

Published on 30 Oct 2016 - 17:27

score 355 · Answer 14 · 2026-03-27 08:16:35

355

Views

Group Cohomology: Change of Groups

Published on 27 Mar 2026 - 8:16

score 692 · Answer 15 · 2026-03-26 12:37:18

692

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Why is the first homology group of the torus is $\mathbb{Z}\oplus\mathbb{Z}$ instead of $\mathbb{Z}*\mathbb{Z}$ or $\mathbb{Z}\times\mathbb{Z}$?

Published on 26 Mar 2026 - 12:37

List Question

How do you use the universal property of tensor products to prove the external direct sum is unique?

$\mathrm{Hom}(\lim_IA_i,B)=\mathrm{colim}_I(\mathrm{Hom}(A_i,B))$?

Can a nonzero module be cocompact?

Categorical proof of a property of direct limits of abelian groups

Value of a left exact functor on a filtered object

How to prove $Hom_A(P_0,X),Hom_A(P_1,X)$ are injective right $R$-modules?

A sequence of functor comes from derived functor

Need help understanding pushouts with an example.

understanding how a cohomlogy functor can be a right derived functor of a left exact functor

$\text{Hom}_{A \otimes_K L}(P \otimes_K L, P \otimes_K L) \cong \text{Hom}_{A}(P,P) \otimes_K \text{Hom}_{L}(L,L)$?

Need help proving the the pull back diagram below gives us an isomorphism $\ker(g)\to \ker(\alpha)$?.

Explicit boundary maps for group homology via standard complex.

Question on notation from Eisenbud's Commutative algebra - (x:y)

Group Cohomology: Change of Groups

Why is the first homology group of the torus is $\mathbb{Z}\oplus\mathbb{Z}$ instead of $\mathbb{Z}*\mathbb{Z}$ or $\mathbb{Z}\times\mathbb{Z}$?

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