Question

Module is semisimple if and only if M is the sum of simple submodules.

score 406 · Answer 1 · 2026-02-23 02:11:10

406

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Module is semisimple if and only if M is the sum of simple submodules.

Published on 23 Feb 2026 - 2:11

score 211 · Answer 2 · 2026-03-26 10:56:27

211

Views

Projection of Submodules

Published on 26 Mar 2026 - 10:56

score 447 · Answer 3 · 2019-10-01 13:42:42

447

Views

Closure of direct sum and direct sum of the closure

Published on 01 Oct 2019 - 13:42

score 840 · Answer 4 · 2026-03-26 04:36:45

840

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Is an abelian group the sum of a torsion group with a free group?

Published on 26 Mar 2026 - 4:36

score 48 · Answer 5 · 2014-03-27 16:29:49

48

Views

Restriction of linear operator and nonsingularity

Published on 27 Mar 2014 - 16:29

score 101 · Answer 6 · 2026-03-25 23:35:51

101

Views

Is $\Lambda(T^{}E)=\bigoplus_{k=0}^n\Lambda^k(T^{}E)$ a complex line bundle over $T^{*}E$?

Published on 25 Mar 2026 - 23:35

score 2.6k · Answer 7 · 2014-04-19 21:58:36

2.6k

Views

Prove that if $W_1\subseteq V$ finite-dimensional, then there is $W_2\subseteq V$ such that $V=W_1\oplus W_2$

Published on 19 Apr 2014 - 21:58

score 1.2k · Answer 8 · 2026-03-26 11:08:10

1.2k

Views

Does exact sequence of abelian groups split when middle group has a subgroup direct sum of other groups?

Published on 26 Mar 2026 - 11:08

score 122 · Answer 9 · 2014-05-16 14:06:25

122

Views

Generating an algebra

Published on 16 May 2014 - 14:06

score 127 · Answer 10 · 2014-05-31 23:01:13

127

Views

Proof that Vector Space in Domain of Linear Map is a Direct Sum

Published on 31 May 2014 - 23:01

score 737 · Answer 11 · 2014-06-03 09:17:33

737

Views

Sum and difference of projections

Published on 03 Jun 2014 - 9:17

score 492 · Answer 12 · 2014-06-13 21:08:50

492

Views

Does the tensor product distribute over internal direct sums as well?

Published on 13 Jun 2014 - 21:08

score 2.3k · Answer 13 · 2014-06-20 19:24:00

2.3k

Views

Direct-sum decomposition of dual space

Published on 20 Jun 2014 - 19:24

score 626 · Answer 14 · 2014-06-22 19:57:33

626

Views

Given two linear transformations, prove that V is equal to the direct sum of the kernels.

Published on 22 Jun 2014 - 19:57

score 2.6k · Answer 15 · 2014-06-23 08:18:31

2.6k

Views

distributivity of tensor product and direct sum for Hilbert spaces

Published on 23 Jun 2014 - 8:18

List Question

Module is semisimple if and only if M is the sum of simple submodules.

Projection of Submodules

Closure of direct sum and direct sum of the closure

Is an abelian group the sum of a torsion group with a free group?

Restriction of linear operator and nonsingularity

Is $\Lambda(T^{}E)=\bigoplus_{k=0}^n\Lambda^k(T^{}E)$ a complex line bundle over $T^{*}E$?

Prove that if $W_1\subseteq V$ finite-dimensional, then there is $W_2\subseteq V$ such that $V=W_1\oplus W_2$

Does exact sequence of abelian groups split when middle group has a subgroup direct sum of other groups?

Generating an algebra

Proof that Vector Space in Domain of Linear Map is a Direct Sum

Sum and difference of projections

Does the tensor product distribute over internal direct sums as well?

Direct-sum decomposition of dual space

Given two linear transformations, prove that V is equal to the direct sum of the kernels.

distributivity of tensor product and direct sum for Hilbert spaces

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