Question

Can we have $N\oplus P=N' \oplus P$ for $N' \subsetneq N$?

score 62 · Answer 1 · 2015-12-21 21:34:48

62

Views

Can we have $N\oplus P=N' \oplus P$ for $N' \subsetneq N$?

Published on 21 Dec 2015 - 21:34

score 270 · Answer 2 · 2015-12-29 22:35:10

270

Views

Problem with the ring $R=\begin{bmatrix}\Bbb Z & 0\\ \Bbb Q &\Bbb Q\end{bmatrix}$ and its ideal $D=\begin{bmatrix}0&0\\ \Bbb Q & \Bbb Q\end{bmatrix}$

Published on 29 Dec 2015 - 22:35

score 53 · Answer 3 · 2015-12-29 22:40:14

53

Views

A problem in Abelian p-group being indecomposable

Published on 29 Dec 2015 - 22:40

score 320 · Answer 4 · 2026-03-03 08:08:44

320

Views

A problem in decomposing a p group into direct sum of nontrivial subgroups

Published on 03 Mar 2026 - 8:08

score 993 · Answer 5 · 2016-01-04 22:59:17

993

Views

Does the tensor product distribute over a direct sum exactly if all the involved modules are bimodules?

Published on 04 Jan 2016 - 22:59

score 689 · Answer 6 · 2016-01-13 01:57:53

689

Views

How to calculate sum of vector subspaces

Published on 13 Jan 2016 - 1:57

score 1.4k · Answer 7 · 2016-01-17 18:32:24

1.4k

Views

Is any subspace of a direct sum necessarily a direct sum of subspaces?

Published on 17 Jan 2016 - 18:32

score 174 · Answer 8 · 2016-01-20 06:36:23

174

Views

Does every module over a commutative local ring direct sum of all its indecomposable submodules?

Published on 20 Jan 2016 - 6:36

score 1.5k · Answer 9 · 2016-01-25 19:15:17

1.5k

Views

How to show that $\mathbb{R}^3$ is the direct sum of $W_1={\rm span}\{(1,1,1)\}$ and $W_2={\rm span}\{(1,0,0),(1,1,0)\}$?

Published on 25 Jan 2016 - 19:15

score 117 · Answer 10 · 2016-01-26 17:22:34

117

Views

Let $U,V \subseteq \mathbb{R}^{n}$ be two subspaces with $U \cap V = {0}$, $U \oplus V = \mathbb{R}^{n}$. Then $\langle u,v\rangle$ = 0

Published on 26 Jan 2016 - 17:22

score 1.9k · Answer 11 · 2016-01-28 04:20:19

1.9k

Views

How to find a subspace that satisfies a direct sum

Published on 28 Jan 2016 - 4:20

score 1k · Answer 12 · 2016-02-02 23:14:15

1k

Views

Submodule of a free module with the same rank is a direct summand

Published on 02 Feb 2016 - 23:14

score 884 · Answer 13 · 2016-02-04 19:28:35

884

Views

Direct Sum of $n$ Subspaces

Published on 04 Feb 2016 - 19:28

score 882 · Answer 14 · 2016-02-08 17:05:02

882

Views

Inner product in a direct sum of a dimensional space

Published on 08 Feb 2016 - 17:05

score 162 · Answer 15 · 2016-02-08 22:32:52

162

Views

How to show that $R^3$ is the direct sum of $W_1=$Span$(1,1,1)$ and $W_2=$Span$(\{1,0,0\}, \{1,1,0\})$?

Published on 08 Feb 2016 - 22:32

List Question

Can we have $N\oplus P=N' \oplus P$ for $N' \subsetneq N$?

Problem with the ring $R=\begin{bmatrix}\Bbb Z & 0\\ \Bbb Q &\Bbb Q\end{bmatrix}$ and its ideal $D=\begin{bmatrix}0&0\\ \Bbb Q & \Bbb Q\end{bmatrix}$

A problem in Abelian p-group being indecomposable

A problem in decomposing a p group into direct sum of nontrivial subgroups

Does the tensor product distribute over a direct sum exactly if all the involved modules are bimodules?

How to calculate sum of vector subspaces

Is any subspace of a direct sum necessarily a direct sum of subspaces?

Does every module over a commutative local ring direct sum of all its indecomposable submodules?

How to show that $\mathbb{R}^3$ is the direct sum of $W_1={\rm span}\{(1,1,1)\}$ and $W_2={\rm span}\{(1,0,0),(1,1,0)\}$?

Let $U,V \subseteq \mathbb{R}^{n}$ be two subspaces with $U \cap V = {0}$, $U \oplus V = \mathbb{R}^{n}$. Then $\langle u,v\rangle$ = 0

How to find a subspace that satisfies a direct sum

Submodule of a free module with the same rank is a direct summand

Direct Sum of $n$ Subspaces

Inner product in a direct sum of a dimensional space

How to show that $R^3$ is the direct sum of $W_1=$Span$(1,1,1)$ and $W_2=$Span$(\{1,0,0\}, \{1,1,0\})$?

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