List questions from direct-sum

Published on 09 Apr 2018 - 20:01

75

Views

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

Published on 18 Apr 2018 - 6:34

105

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When abelian subgroup is direct summand?

Published on 25 Mar 2026 - 11:00

38

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

Published on 24 Apr 2018 - 0:31

233

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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 24 Apr 2018 - 21:03

94

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Proof for definition of the direct sum of subspaces

Published on 26 Mar 2026 - 1:34

299

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

Published on 27 Apr 2018 - 17:38

74

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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 28 Apr 2018 - 10:52

26

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Direct sums of subspaces (example question)

Published on 01 May 2018 - 16:41

488

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Direct sum of subspaces projection

Published on 25 Mar 2026 - 23:17

213

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Question on the definition of Free Abelian Groups

Published on 23 Mar 2026 - 0:03

347

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A direct sum of two function spaces

Published on 04 May 2018 - 13:56

1.1k

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Equivalence of Internal & External Direct Product

Published on 25 Mar 2026 - 16:08

49

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Expected value sum identity

Published on 08 May 2018 - 13:11

83

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Direct sum of intersections of Eigenspaces

Published on 26 Mar 2026 - 7:57

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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