Question

Addition and Tensor product of Vector spaces for beginners : Concrete example

score 124 · Answer 1 · 2026-03-28 16:28:28

124

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Addition and Tensor product of Vector spaces for beginners : Concrete example

Published on 28 Mar 2026 - 16:28

score 203 · Answer 2 · 2021-12-14 07:14:21

203

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Direct sum of topological vector space and the convergence of sequence

Published on 14 Dec 2021 - 7:14

score 99 · Answer 3 · 2021-12-21 10:16:22

99

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is linear combination unique for each vector?

Published on 21 Dec 2021 - 10:16

score 64 · Answer 4 · 2026-03-31 13:12:08

64

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$p_Ai_B=0$ and $p_Bi_A=0$ in additive category

Published on 31 Mar 2026 - 13:12

score 60 · Answer 5 · 2026-03-28 06:23:24

60

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Index notation in question about distribuitivity of tensor product over direct sum

Published on 28 Mar 2026 - 6:23

score 421 · Answer 6 · 2026-03-28 14:07:48

421

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Prove that additive functor preserves products and coproducts

Published on 28 Mar 2026 - 14:07

score 216 · Answer 7 · 2021-12-27 00:18:26

216

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Isomorphism between the direct sum of submodules and generated submodule

Published on 27 Dec 2021 - 0:18

score 331 · Answer 8 · 2021-12-30 11:28:53

331

Views

Why is the space of differential forms $\bigoplus_{p=0}^n \Lambda_x^p$?

Published on 30 Dec 2021 - 11:28

score 83 · Answer 9 · 2026-03-28 20:14:51

83

Views

For $P$ the set of all primes, ${\rm Hom}(\Bbb Z,\sum_{p\in P}\Bbb Z_p)\not\cong\prod_{p\in P}{\rm Hom}(\Bbb Z,\Bbb Z_p)$

Published on 28 Mar 2026 - 20:14

score 129 · Answer 10 · 2022-01-13 04:33:02

129

Views

Infinite direct sum not isomorphic to cartesian product?

Published on 13 Jan 2022 - 4:33

score 65 · Answer 11 · 2022-01-19 01:29:20

65

Views

Prove a projection transformation is linear

Published on 19 Jan 2022 - 1:29

score 126 · Answer 12 · 2026-03-29 21:11:19

126

Views

If $N \leq M$, there exist free modules $F_N \leq N$, $F_M \leq M$ with $N = F_N \oplus N_{tor}$, $M = F_M \oplus M_{tor}$ with $F_N \leq F_M$

Published on 29 Mar 2026 - 21:11

score 71 · Answer 13 · 2022-01-30 04:06:05

71

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Does the torsion subgroup of a torus have more than one complement?

Published on 30 Jan 2022 - 4:06

score 199 · Answer 14 · 2022-02-05 23:09:46

199

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Tensor distributes over direct sum

Published on 05 Feb 2022 - 23:09

score 285 · Answer 15 · 2022-02-08 15:21:30

285

Views

Direct Sum of Groups - are there 2 types of direct sums?

Published on 08 Feb 2022 - 15:21

List Question

Addition and Tensor product of Vector spaces for beginners : Concrete example

Direct sum of topological vector space and the convergence of sequence

is linear combination unique for each vector?

$p_Ai_B=0$ and $p_Bi_A=0$ in additive category

Index notation in question about distribuitivity of tensor product over direct sum

Prove that additive functor preserves products and coproducts

Isomorphism between the direct sum of submodules and generated submodule

Why is the space of differential forms $\bigoplus_{p=0}^n \Lambda_x^p$?

For $P$ the set of all primes, ${\rm Hom}(\Bbb Z,\sum_{p\in P}\Bbb Z_p)\not\cong\prod_{p\in P}{\rm Hom}(\Bbb Z,\Bbb Z_p)$

Infinite direct sum not isomorphic to cartesian product?

Prove a projection transformation is linear

If $N \leq M$, there exist free modules $F_N \leq N$, $F_M \leq M$ with $N = F_N \oplus N_{tor}$, $M = F_M \oplus M_{tor}$ with $F_N \leq F_M$

Does the torsion subgroup of a torus have more than one complement?

Tensor distributes over direct sum

Direct Sum of Groups - are there 2 types of direct sums?

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