List questions from direct-sum

Published on 03 Nov 2019 - 19:40

90

Views

Endomorphism ring of an irreducible module is irreducible

Published on 05 Nov 2019 - 23:55

77

Views

Universal Property of Products in $A$-modules

Published on 26 Mar 2026 - 12:46

92

Views

Direct sums and intersection.

Published on 10 Nov 2019 - 10:48

54

Views

Show that the relation $R$ is closed if and only if $R^{-1}$ is closed

Published on 11 Nov 2019 - 11:04

63

Views

Show that if $G_{1}$ is a subgroup of $G$, there may be no subgroup of $G_{2}$ of $G$ such that $G=G_{1}\oplus G_{2}$.

Published on 11 Nov 2019 - 20:51

586

Views

Fairly basic question about direct sums and sums of vector spaces

Published on 12 Nov 2019 - 13:02

34

Views

Show that $\mathbb{R}^{\infty}$ can be written as a direct sum of some subgroups

Published on 26 Mar 2026 - 7:59

97

Views

How to decompose a vector space into a direct sum with semimagic matrices?

Published on 13 Nov 2019 - 2:20

42

Views

Subspace Relating with Direct Sum

Published on 14 Nov 2019 - 21:41

78

Views

Quick Question on Notation: $R^{\, \oplus n}$

Published on 24 Nov 2019 - 23:59

79

Views

Show that i is idempotent

Published on 25 Mar 2026 - 23:08

170

Views

When is the center a direct summand?

Published on 30 Nov 2019 - 1:34

45

Views

Suppose $ker f = ker g$, show that $\exists \alpha \in \mathbb{C}$ such that $f(p)=\alpha g(p)$, $\forall p \in \mathcal{P}_7 (\mathbb{C})$

Published on 30 Nov 2019 - 8:51

151

Views

Given that $V_1$ and $V_2$ are subspaces of $V$, how do I show that $V = V_1 \oplus V_2$?

Published on 30 Nov 2019 - 21:15

List Question

Decomposition of vector space using direct sums

Endomorphism ring of an irreducible module is irreducible

Universal Property of Products in $A$-modules

Direct sums and intersection.

Show that the relation $R$ is closed if and only if $R^{-1}$ is closed

Show that if $G_{1}$ is a subgroup of $G$, there may be no subgroup of $G_{2}$ of $G$ such that $G=G_{1}\oplus G_{2}$.

Fairly basic question about direct sums and sums of vector spaces

Show that $\mathbb{R}^{\infty}$ can be written as a direct sum of some subgroups

How to decompose a vector space into a direct sum with semimagic matrices?

Subspace Relating with Direct Sum

Quick Question on Notation: $R^{\, \oplus n}$

Show that i is idempotent

When is the center a direct summand?

Suppose $ker f = ker g$, show that $\exists \alpha \in \mathbb{C}$ such that $f(p)=\alpha g(p)$, $\forall p \in \mathcal{P}_7 (\mathbb{C})$

Given that $V_1$ and $V_2$ are subspaces of $V$, how do I show that $V = V_1 \oplus V_2$?

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