Question

Does a vector space equaling the direct sum of W and X as well as W and Y imply X=Y?

score 735 · Answer 1 · 2016-12-23 05:08:56

735

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Does a vector space equaling the direct sum of W and X as well as W and Y imply X=Y?

Published on 23 Dec 2016 - 5:08

score 736 · Answer 2 · 2026-03-26 08:03:17

736

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Question about universal property of direct sum of abelian groups

Published on 26 Mar 2026 - 8:03

score 308 · Answer 3 · 2017-01-18 07:48:46

308

Views

Direct sum of Hilbert Space $\ell^{2}$

Published on 18 Jan 2017 - 7:48

score 779 · Answer 4 · 2017-01-19 23:22:53

779

Views

If a module is the direct sum of two copies of itself, are there conditions that ensure that it's zero?

Published on 19 Jan 2017 - 23:22

score 1k · Answer 5 · 2026-03-25 13:56:53

1k

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Levi--Civita connection of a product metric

Published on 25 Mar 2026 - 13:56

score 582 · Answer 6 · 2017-01-30 09:33:05

582

Views

A confusion on terminologies: "direct product" and "tensor product" of matrices

Published on 30 Jan 2017 - 9:33

score 1.2k · Answer 7 · 2017-02-02 14:24:46

1.2k

Views

Linearly dependent vectors, subspace and direct sum.

Published on 02 Feb 2017 - 14:24

score 87 · Answer 8 · 2017-02-03 19:50:34

87

Views

Multiple SUM meaning

Published on 03 Feb 2017 - 19:50

score 396 · Answer 9 · 2017-02-04 16:13:46

396

Views

Three Independent Subspaces that Direct Sum to the Whole Vector Space

Published on 04 Feb 2017 - 16:13

score 51 · Answer 10 · 2017-02-11 00:21:13

51

Views

Sum of vector spaces equivalence

Published on 11 Feb 2017 - 0:21

score 27 · Answer 11 · 2026-03-25 15:59:21

27

Views

Modules where $A+(M/A) \ncong A\oplus M/A$

Published on 25 Mar 2026 - 15:59

score 36 · Answer 12 · 2017-02-12 22:06:01

36

Views

Please clarify: Dimension of Direct Sums

Published on 12 Feb 2017 - 22:06

score 87 · Answer 13 · 2017-02-13 09:19:31

87

Views

Express the dual space of the tensor algebra as a direct sum

Published on 13 Feb 2017 - 9:19

score 203 · Answer 14 · 2017-02-25 20:01:38

203

Views

Show that $W=U_1\oplus U_2\implies W=U_1+U_2$ and $U_1\cap U_2=\{0\}$

Published on 25 Feb 2017 - 20:01

score 27 · Answer 15 · 2017-02-27 01:14:23

27

Views

Conditions on $R_{i}$ in order for $R = R_{1} \oplus R_{2} \oplus \cdots \oplus R_{n}$ to be commutative and have the identity

Published on 27 Feb 2017 - 1:14

List Question

Does a vector space equaling the direct sum of W and X as well as W and Y imply X=Y?

Question about universal property of direct sum of abelian groups

Direct sum of Hilbert Space $\ell^{2}$

If a module is the direct sum of two copies of itself, are there conditions that ensure that it's zero?

Levi--Civita connection of a product metric

A confusion on terminologies: "direct product" and "tensor product" of matrices

Linearly dependent vectors, subspace and direct sum.

Multiple SUM meaning

Three Independent Subspaces that Direct Sum to the Whole Vector Space

Sum of vector spaces equivalence

Modules where $A+(M/A) \ncong A\oplus M/A$

Please clarify: Dimension of Direct Sums

Express the dual space of the tensor algebra as a direct sum

Show that $W=U_1\oplus U_2\implies W=U_1+U_2$ and $U_1\cap U_2=\{0\}$

Conditions on $R_{i}$ in order for $R = R_{1} \oplus R_{2} \oplus \cdots \oplus R_{n}$ to be commutative and have the identity

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