List questions from direct-sum

Published on 03 May 2026 - 3:12

83

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For which $n$, is $\Bbb{Z}_n \cong H \oplus (\Bbb{Z}_n/H) $ is true?

Published on 03 May 2026 - 11:14

110

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When abelian subgroup is direct summand?

Published on 03 May 2026 - 11:10

44

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Can I find the basis for the eigenspaces of an operator just having the diagonal matrix??

Published on 04 May 2026 - 12:18

239

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Let R be a ring with 1. Show that every principal left ideal is generated by an idempotent iff it is a direct summand of ${}_{R}R$

Published on 04 May 2026 - 11:52

98

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Proof for definition of the direct sum of subspaces

Published on 29 Apr 2026 - 21:58

304

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Showing that a linear map with given idempotent like property splits into direct sum of subspaces.

Published on 03 May 2026 - 11:27

78

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Prove that $T$ can be written as $T=S \oplus R $ such that $\lambda$ is the only eigenvalue of $S$ and is not an eigenvalue of $R$

Published on 03 May 2026 - 12:55

32

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Direct sums of subspaces (example question)

Published on 05 May 2026 - 15:26

494

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Direct sum of subspaces projection

Published on 03 May 2026 - 12:39

219

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Question on the definition of Free Abelian Groups

Published on 21 Apr 2026 - 10:58

353

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A direct sum of two function spaces

Published on 03 May 2026 - 12:18

1.1k

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Equivalence of Internal & External Direct Product

Published on 03 May 2026 - 3:58

57

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Expected value sum identity

Published on 03 May 2026 - 8:39

88

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Direct sum of intersections of Eigenspaces

Published on 03 May 2026 - 11:17

List Question

How to prove direct sums?

For which $n$, is $\Bbb{Z}_n \cong H \oplus (\Bbb{Z}_n/H) $ is true?

When abelian subgroup is direct summand?

Can I find the basis for the eigenspaces of an operator just having the diagonal matrix??

Let R be a ring with 1. Show that every principal left ideal is generated by an idempotent iff it is a direct summand of ${}_{R}R$

Proof for definition of the direct sum of subspaces

Showing that a linear map with given idempotent like property splits into direct sum of subspaces.

Prove that $T$ can be written as $T=S \oplus R $ such that $\lambda$ is the only eigenvalue of $S$ and is not an eigenvalue of $R$

Direct sums of subspaces (example question)

Direct sum of subspaces projection

Question on the definition of Free Abelian Groups

A direct sum of two function spaces

Equivalence of Internal & External Direct Product

Expected value sum identity

Direct sum of intersections of Eigenspaces

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