Question

Exact sequence, direct sum, understanding of the given proof

score 165 · Answer 1 · 2017-10-08 09:31:47

165

Views

Exact sequence, direct sum, understanding of the given proof

Published on 08 Oct 2017 - 9:31

score 30 · Answer 2 · 2017-10-11 18:07:47

30

Views

Find three subspace$ W_{1} ,W_{2}, W_{3}$ such that for a given subspace U, $F^{5} = U\oplus W_{1}\oplus W_{2} \oplus W_{3}$

Published on 11 Oct 2017 - 18:07

score 193 · Answer 3 · 2017-10-18 19:31:22

193

Views

Does convergence of vector sequence imply that of all components?

Published on 18 Oct 2017 - 19:31

score 232 · Answer 4 · 2017-10-25 04:28:42

232

Views

Given $n$ projection operators on an $n$-dimensional vector space $V$, show $V$ is the direct sum of the ranges of the projections.

Published on 25 Oct 2017 - 4:28

score 120 · Answer 5 · 2017-10-31 21:44:52

120

Views

Alternative use of ⊕ symbol

Published on 31 Oct 2017 - 21:44

score 767 · Answer 6 · 2026-02-23 11:21:25

767

Views

A direct sum of semisimple left R-modules is semisimple

Published on 23 Feb 2026 - 11:21

score 521 · Answer 7 · 2017-11-11 17:22:27

521

Views

Showing that two representations with 'isomorphic' direct sum decomposition are equivalent.

Published on 11 Nov 2017 - 17:22

score 1.5k · Answer 8 · 2017-11-14 14:34:15

1.5k

Views

Cancellation Law for Direct Sums - What is wrong with this argument?

Published on 14 Nov 2017 - 14:34

score 369 · Answer 9 · 2026-03-27 20:21:03

369

Views

A difficulty in understanding the definition of a direct sum and direct product for infinite number of factors.

Published on 27 Mar 2026 - 20:21

score 128 · Answer 10 · 2017-11-19 01:56:26

128

Views

Is my professor's explanation of direct sum accurate?

Published on 19 Nov 2017 - 1:56

score 678 · Answer 11 · 2026-03-27 10:09:12

678

Views

Direct sum of non-orientable bundles is orientable?

Published on 27 Mar 2026 - 10:09

score 39 · Answer 12 · 2017-11-22 09:21:50

39

Views

Linear Algebra: How can I demonstrate this lemma?

Published on 22 Nov 2017 - 9:21

score 31 · Answer 13 · 2026-03-29 16:00:53

31

Views

if $\sum_{k=1}^nx_{k}=\sum_{k=1}^{n}x_{k}^2=n$ then forall k, $x_k=1$

Published on 29 Mar 2026 - 16:00

score 104 · Answer 14 · 2017-11-27 12:32:26

104

Views

If $M\cong M_1\oplus M_2$ is a torsion-free module, does it follow that $M_1$ is a torsion-free module?

Published on 27 Nov 2017 - 12:32

score 83 · Answer 15 · 2017-11-28 12:34:14

83

Views

Direct Sum Isomorphism: $\mathbf{Z}_4 \oplus \mathbf{Z}_3 = \mathbf{Z}_{12}$

Published on 28 Nov 2017 - 12:34

List Question

Exact sequence, direct sum, understanding of the given proof

Find three subspace$ W_{1} ,W_{2}, W_{3}$ such that for a given subspace U, $F^{5} = U\oplus W_{1}\oplus W_{2} \oplus W_{3}$

Does convergence of vector sequence imply that of all components?

Given $n$ projection operators on an $n$-dimensional vector space $V$, show $V$ is the direct sum of the ranges of the projections.

Alternative use of ⊕ symbol

A direct sum of semisimple left R-modules is semisimple

Showing that two representations with 'isomorphic' direct sum decomposition are equivalent.

Cancellation Law for Direct Sums - What is wrong with this argument?

A difficulty in understanding the definition of a direct sum and direct product for infinite number of factors.

Is my professor's explanation of direct sum accurate?

Direct sum of non-orientable bundles is orientable?

Linear Algebra: How can I demonstrate this lemma?

if $\sum_{k=1}^nx_{k}=\sum_{k=1}^{n}x_{k}^2=n$ then forall k, $x_k=1$

If $M\cong M_1\oplus M_2$ is a torsion-free module, does it follow that $M_1$ is a torsion-free module?

Direct Sum Isomorphism: $\mathbf{Z}_4 \oplus \mathbf{Z}_3 = \mathbf{Z}_{12}$

Trending Questions

Popular # Hahtags

Popular Questions