Question

A module $N$ is semisimple $\Longleftrightarrow$ $N$ has no proper essential submodules

score 156 · Answer 1 · 2026-05-10 14:48:37

156

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A module $N$ is semisimple $\Longleftrightarrow$ $N$ has no proper essential submodules

Published on 10 May 2026 - 14:48

score 139 · Answer 2 · 2026-05-10 16:16:06

139

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The projective geometry contains the affine geometry

Published on 10 May 2026 - 16:16

score 219 · Answer 3 · 2026-04-14 08:02:04

219

Views

Is this a correct alternative proof to "Prove there is no rational $r$ satisfying $2^r=3$"

Published on 14 Apr 2026 - 8:02

score 61 · Answer 4 · 2026-04-09 06:20:33

61

Views

A property of $\partial(A)$

Published on 09 Apr 2026 - 6:20

score 419 · Answer 5 · 2026-04-14 03:08:21

419

Views

Complement, open and closed sets

Published on 14 Apr 2026 - 3:08

score 96 · Answer 6 · 2026-04-15 08:41:03

96

Views

Is this a correct use of the universal quantifier in a proof involving upper bounds?

Published on 15 Apr 2026 - 8:41

score 870 · Answer 7 · 2026-04-12 03:08:11

870

Views

Proof: Complex number convergence

Published on 12 Apr 2026 - 3:08

score 344 · Answer 8 · 2026-04-09 07:29:18

344

Views

Proofs that impossible event B has NO conditional probability $\mathbb{P}(A|B)$. Is everything correct?

Published on 09 Apr 2026 - 7:29

score 30 · Answer 9 · 2026-04-16 09:06:16

30

Views

Prove that $\lim_{a\to 1}\int_{\mathbb R^n} |f(x)-a^nf(ax)|d\mu=0$ for any $f\in L^1(\mu)$

Published on 16 Apr 2026 - 9:06

score 48 · Answer 10 · 2026-04-16 07:37:27

48

Views

Two finite groups $G,H$ are isomophic iff $\text{rank}(G)= \text{rank}(H)$?

Published on 16 Apr 2026 - 7:37

score 43 · Answer 11 · 2026-04-11 08:33:26

43

Views

Invertibility of a transformation matrix proof

Published on 11 Apr 2026 - 8:33

score 102 · Answer 12 · 2026-04-10 08:50:26

102

Views

Bounds on moments of Gaussian random variables

Published on 10 Apr 2026 - 8:50

score 410 · Answer 13 · 2026-04-12 20:23:24

410

Views

When do (multivariate) polynomial rings fail to be Prüfer rings?

Published on 12 Apr 2026 - 20:23

score 164 · Answer 14 · 2026-04-15 07:51:43

164

Views

Prove that if $u:\mathbb{R}^d \to \mathbb{R}$ is harmonic with integrable square then $u\equiv 0$.

Published on 15 Apr 2026 - 7:51

score 36 · Answer 15 · 2026-04-14 16:33:39

36

Views

Help me out in this integration

Published on 14 Apr 2026 - 16:33

List Question

A module $N$ is semisimple $\Longleftrightarrow$ $N$ has no proper essential submodules

The projective geometry contains the affine geometry

Is this a correct alternative proof to "Prove there is no rational $r$ satisfying $2^r=3$"

A property of $\partial(A)$

Complement, open and closed sets

Is this a correct use of the universal quantifier in a proof involving upper bounds?

Proof: Complex number convergence

Proofs that impossible event B has NO conditional probability $\mathbb{P}(A|B)$. Is everything correct?

Prove that $\lim_{a\to 1}\int_{\mathbb R^n} |f(x)-a^nf(ax)|d\mu=0$ for any $f\in L^1(\mu)$

Two finite groups $G,H$ are isomophic iff $\text{rank}(G)= \text{rank}(H)$?

Invertibility of a transformation matrix proof

Bounds on moments of Gaussian random variables

When do (multivariate) polynomial rings fail to be Prüfer rings?

Prove that if $u:\mathbb{R}^d \to \mathbb{R}$ is harmonic with integrable square then $u\equiv 0$.

Help me out in this integration

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