List questions from direct-sum

Published on 15 Dec 2014 - 23:29

79

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Prove vectors create a basis

Published on 17 Dec 2014 - 20:51

50

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Direct sum of two spaces

Published on 18 Dec 2014 - 16:18

2.6k

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Space is direct sum of subspaces - propostion conditions giving me problems

Published on 20 Dec 2014 - 23:26

65

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Prove that $V_i$ are $T$-invariant for $1\le i\le k$ and $V=\bigoplus_{i=1}^{k}V_i$

Published on 21 Dec 2014 - 1:10

1.5k

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Dual of $\ell^p$ Direct sum

Published on 26 Mar 2026 - 13:51

533

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Is there a universal mapping property satisfied by the disjoint union of totally ordered sets?

Published on 26 Mar 2026 - 11:02

48

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Trouble with index of a subgroup

Published on 27 Mar 2026 - 1:07

46

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Prove that if A and B are equivalent matrices and C and D are equivalent matrices, A⊕C is equivalent to B⊕D.

Published on 08 Oct 2019 - 16:59

142

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Notation orthogonal direct sum

Published on 09 Oct 2019 - 6:35

2.3k

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Localization commutes with arbitrary direct sums

Published on 09 Oct 2019 - 12:56

81

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Some Linear Algebra

Published on 25 Mar 2026 - 13:04

29

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Internal direct sum of left ideals (as submodules)

Published on 25 Mar 2026 - 15:11

211

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Understanding the "triangle" argument to find a homomorphism from a direct product to a group and other instances of the argument

Published on 26 Mar 2026 - 11:01

32

Views

Direct Sum and Set Difference.

Published on 14 Oct 2019 - 1:00

List Question

$V=V_1 \oplus V_2 = V_1 \oplus V_3$ does not mean $V_2 = V_3$

Prove vectors create a basis

Direct sum of two spaces

Space is direct sum of subspaces - propostion conditions giving me problems

Prove that $V_i$ are $T$-invariant for $1\le i\le k$ and $V=\bigoplus_{i=1}^{k}V_i$

Dual of $\ell^p$ Direct sum

Is there a universal mapping property satisfied by the disjoint union of totally ordered sets?

Trouble with index of a subgroup

Prove that if A and B are equivalent matrices and C and D are equivalent matrices, A⊕C is equivalent to B⊕D.

Notation orthogonal direct sum

Localization commutes with arbitrary direct sums

Some Linear Algebra

Internal direct sum of left ideals (as submodules)

Understanding the "triangle" argument to find a homomorphism from a direct product to a group and other instances of the argument

Direct Sum and Set Difference.

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