List questions from direct-sum

Published on 28 Mar 2026 - 4:34

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What's the specific definition of a direct sum of vector spaces?

Published on 06 Dec 2020 - 1:05

415

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Is Hartshorne's Remark III.2.9.1 actually a valid argument?

Published on 28 Mar 2026 - 12:02

73

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P + Q = P + R where P, Q and R are subspaces. Should Q = R?

Published on 26 Mar 2026 - 22:54

378

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Does $M \oplus N \cong M$ imply that $N = 0$ for modules $M,N$?

Published on 13 Dec 2020 - 17:19

78

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Endomorphisms of a direct sum of Lie groups

Published on 28 Mar 2026 - 6:40

894

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Eigenvectors of block diagonal matrix

Published on 26 Mar 2026 - 7:57

46

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Associativity of the internal direct sum

Published on 17 Dec 2020 - 13:20

27

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Relating the Entries of a Block Operator Matrix to Compositions of Projections

Published on 28 Mar 2026 - 20:09

193

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Prove that $V$ is a direct sum of $V_{-i}$ and $V_{+i}$

Published on 27 Dec 2020 - 4:49

84

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If $T$ is a linear operator. Prove that this 3 conditions are equivalent

Published on 07 Jan 2021 - 20:48

400

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showing the direct sum of an endomorphism $f$ where $f$ is a projection $f^2=f$

Published on 07 Jan 2021 - 21:02

146

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On the definition of the direct sum of not necessarily abelian groups

Published on 28 Mar 2026 - 8:09

67

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Complements of sum of vector space

Published on 10 Jan 2021 - 14:25

117

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Definition of projection ( as in Serre's Linear representation of finite group)

Published on 30 Mar 2026 - 10:13

List Question

Does the Prufer p-group contain direct sums of cyclic groups?

What's the specific definition of a direct sum of vector spaces?

Is Hartshorne's Remark III.2.9.1 actually a valid argument?

P + Q = P + R where P, Q and R are subspaces. Should Q = R?

Does $M \oplus N \cong M$ imply that $N = 0$ for modules $M,N$?

Endomorphisms of a direct sum of Lie groups

Eigenvectors of block diagonal matrix

Associativity of the internal direct sum

Relating the Entries of a Block Operator Matrix to Compositions of Projections

Prove that $V$ is a direct sum of $V_{-i}$ and $V_{+i}$

If $T$ is a linear operator. Prove that this 3 conditions are equivalent

showing the direct sum of an endomorphism $f$ where $f$ is a projection $f^2=f$

On the definition of the direct sum of not necessarily abelian groups

Complements of sum of vector space

Definition of projection ( as in Serre's Linear representation of finite group)

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