List questions from direct-sum

65

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$(\bigoplus_{A}M_{\alpha })/ I(\bigoplus_{A}M_{\alpha }) \cong \bigoplus _{A}M_{\alpha }/IM_{\alpha }$

Published on 29 Sep 2013 - 9:26

677

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Direct sum and subspaces

Published on 01 Oct 2013 - 5:26

3.5k

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Subgroups of $U(n)$ isomorphic to a direct sum of cyclic groups

Published on 07 Oct 2013 - 9:15

855

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Proof that $V = \sum_k U_k$ and $\dim V=\sum_k \dim U_k$ implies $V=\oplus_k U_k$

Published on 10 Nov 2013 - 19:30

485

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gl(n,C) as a direct sum?

Published on 12 Nov 2013 - 1:10

3.2k

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A module as an external direct product of the kernel and image of an idempotent function

Published on 14 Nov 2013 - 12:07

68

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A linear transformation has a 3D Invariant subspace

Published on 17 Nov 2013 - 10:51

341

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Direct sum of indecomposable modules

Published on 20 Nov 2013 - 17:13

2.6k

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Direct sum of projective module

Published on 29 Mar 2026 - 19:26

522

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Direct sum of submodule

Published on 26 Nov 2013 - 3:31

79

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Why we have $N_{1}+N_{2}+\cdots+N_{n}=N_{1}\oplus N_{2}\oplus\cdots\oplus N_{n}$?

Published on 26 Nov 2013 - 9:16

229

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if $K=L$ then $K'\cong L'$. Furthermore, if $H$ is submodule of $M$ and $K$ is submodule of $H$ then $H=K\oplus\left(H\cap K'\right)$

Published on 26 Nov 2013 - 15:58

69

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Decomposition of vector space - two linear mappings

Published on 12 Dec 2013 - 18:04

103

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Proof: $B$ is a basis of $V$ $\Longleftrightarrow$ $V = \bigoplus W_k$

Published on 15 Dec 2013 - 14:16

221

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Direct sums and Dedekind domains.

Published on 26 Mar 2026 - 16:23

List Question

$(\bigoplus_{A}M_{\alpha })/ I(\bigoplus_{A}M_{\alpha }) \cong \bigoplus _{A}M_{\alpha }/IM_{\alpha }$

Direct sum and subspaces

Subgroups of $U(n)$ isomorphic to a direct sum of cyclic groups

Proof that $V = \sum_k U_k$ and $\dim V=\sum_k \dim U_k$ implies $V=\oplus_k U_k$

gl(n,C) as a direct sum?

A module as an external direct product of the kernel and image of an idempotent function

A linear transformation has a 3D Invariant subspace

Direct sum of indecomposable modules

Direct sum of projective module

Direct sum of submodule

Why we have $N_{1}+N_{2}+\cdots+N_{n}=N_{1}\oplus N_{2}\oplus\cdots\oplus N_{n}$?

if $K=L$ then $K'\cong L'$. Furthermore, if $H$ is submodule of $M$ and $K$ is submodule of $H$ then $H=K\oplus\left(H\cap K'\right)$

Decomposition of vector space - two linear mappings

Proof: $B$ is a basis of $V$ $\Longleftrightarrow$ $V = \bigoplus W_k$

Direct sums and Dedekind domains.

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