List questions from direct-sum

Published on 01 Sep 2017 - 11:59

25

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How to prove $A$ is generated by $a_0,a_1$?

Published on 10 Sep 2017 - 6:31

2.6k

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Definition of weak product/direct sum of groups

Published on 27 Mar 2026 - 20:14

112

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Why is $\text{Aut}(G_1 \oplus G_2)$ a subgroup of $\text{Aut}(G)$?

Published on 18 Sep 2017 - 14:18

521

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An example of sum that is not direct

Published on 21 Sep 2017 - 3:50

178

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Show that the sum of spectrum is direct

Published on 21 Sep 2017 - 8:29

1.9k

Views

"Direct sum" of linear maps

Published on 22 Sep 2017 - 5:54

34

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A strange way to prove uniqueness

Published on 23 Sep 2017 - 21:16

72

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Prove $\dim_F(U+V)+\dim_F(U\cap V)=\dim_F(U)+\dim_F(V)$

Published on 24 Sep 2017 - 5:09

673

Views

Internal direct sum

Published on 24 Sep 2017 - 6:40

683

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Direct Sum Decomposition

Published on 26 Sep 2017 - 7:05

273

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Complement of subspace in terms of direct sum

Published on 26 Sep 2017 - 11:07

232

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direct sums, kernel and linear operator on a finite dimensional vector space

Published on 30 Sep 2017 - 18:10

840

Views

Direct sum related to trace is zero space

Published on 03 Oct 2017 - 12:45

73

Views

How does the equivalence of $(1)$ and $(3)$ hold?

Published on 08 Oct 2017 - 5:06

List Question

The meaning of $\hom_{\Bbb{F}G}(V_1,W)\oplus \hom_{\Bbb{F}G}(V_2,W)$?

How to prove $A$ is generated by $a_0,a_1$?

Definition of weak product/direct sum of groups

Why is $\text{Aut}(G_1 \oplus G_2)$ a subgroup of $\text{Aut}(G)$?

An example of sum that is not direct

Show that the sum of spectrum is direct

"Direct sum" of linear maps

A strange way to prove uniqueness

Prove $\dim_F(U+V)+\dim_F(U\cap V)=\dim_F(U)+\dim_F(V)$

Internal direct sum

Direct Sum Decomposition

Complement of subspace in terms of direct sum

direct sums, kernel and linear operator on a finite dimensional vector space

Direct sum related to trace is zero space

How does the equivalence of $(1)$ and $(3)$ hold?

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