Question

For an integral domain $R$, the rings $R\times R $ and $R\times R\times R$ are not isomorphic

score 174 · Answer 1 · 2026-04-14 13:52:15

174

Views

For an integral domain $R$, the rings $R\times R $ and $R\times R\times R$ are not isomorphic

Published on 14 Apr 2026 - 13:52

score 1.6k · Answer 2 · 2026-04-16 16:01:23

1.6k

Views

The number of ring homomorphism from $\mathbb Z[x,y]\to \mathbb{F}_2[x]/(1+x+x^2+x^3)$

Published on 16 Apr 2026 - 16:01

score 146 · Answer 3 · 2026-04-15 01:03:26

146

Views

Determine the number of surjective functions $f$ from $A$ to $B$ such that $f(a_1)≤f(a_2)≤...≤f(a_{100})$.

Published on 15 Apr 2026 - 1:03

score 57 · Answer 4 · 2026-04-15 20:14:35

57

Views

An equivalent condition for being $T_1-$space $(X,\mathscr T)$ is normal.

Published on 15 Apr 2026 - 20:14

score 45 · Answer 5 · 2026-04-16 09:59:54

45

Views

If $X\sim N(\mu,\sigma^2)$, how to compute $P(\bar{X}-\mu>n^{-1/3})$?

Published on 16 Apr 2026 - 9:59

score 83 · Answer 6 · 2026-03-25 16:03:43

83

Views

Asymptotic independence on the tail field is equivalent to a probability measure's being trivial

Published on 25 Mar 2026 - 16:03

score 71 · Answer 7 · 2026-04-15 10:50:59

71

Views

Another equivalent condition for being $T_1$−space $(X,\mathscr T)$ is normal.

Published on 15 Apr 2026 - 10:50

score 154 · Answer 8 · 2026-04-12 02:53:58

154

Views

Is $(a)/(a^2)\cong R/(a)$, or something else? ; For ideals $(a), (a^2)\leq R$

Published on 12 Apr 2026 - 2:53

score 95 · Answer 9 · 2026-04-17 02:49:43

95

Views

Example of a Galois extension $L/\mathbb{Q}$ with $\text{Gal}(L/\mathbb{Q})\cong\mathbb{Z}_{4}$

Published on 17 Apr 2026 - 2:49

score 34 · Answer 10 · 2026-04-08 22:34:34

34

Views

Limit (involving $\sup$) - proof verification

Published on 08 Apr 2026 - 22:34

score 24 · Answer 11 · 2026-04-09 09:30:18

24

Views

Surjectivity of composition of functions

Published on 09 Apr 2026 - 9:30

score 43 · Answer 12 · 2026-04-16 00:45:03

43

Views

Verification of alternative proof of $\lim_{p\to \infty}\|u\|_p=\|u\|_\infty$

Published on 16 Apr 2026 - 0:45

score 222 · Answer 13 · 2026-04-12 15:35:54

222

Views

Natural Transformation Between Covariant Hom-Functors

Published on 12 Apr 2026 - 15:35

score 79 · Answer 14 · 2026-04-12 02:42:40

79

Views

A perfect set has two disjoint subsets that are both perfect

Published on 12 Apr 2026 - 2:42

score 39 · Answer 15 · 2026-04-14 18:05:10

39

Views

Invariance of Solution of Laplace equation on $\mathcal{B}_{1}(0)$ under funny composition

Published on 14 Apr 2026 - 18:05

List Question

For an integral domain $R$, the rings $R\times R $ and $R\times R\times R$ are not isomorphic

The number of ring homomorphism from $\mathbb Z[x,y]\to \mathbb{F}_2[x]/(1+x+x^2+x^3)$

Determine the number of surjective functions $f$ from $A$ to $B$ such that $f(a_1)≤f(a_2)≤...≤f(a_{100})$.

An equivalent condition for being $T_1-$space $(X,\mathscr T)$ is normal.

If $X\sim N(\mu,\sigma^2)$, how to compute $P(\bar{X}-\mu>n^{-1/3})$?

Asymptotic independence on the tail field is equivalent to a probability measure's being trivial

Another equivalent condition for being $T_1$−space $(X,\mathscr T)$ is normal.

Is $(a)/(a^2)\cong R/(a)$, or something else? ; For ideals $(a), (a^2)\leq R$

Example of a Galois extension $L/\mathbb{Q}$ with $\text{Gal}(L/\mathbb{Q})\cong\mathbb{Z}_{4}$

Limit (involving $\sup$) - proof verification

Surjectivity of composition of functions

Verification of alternative proof of $\lim_{p\to \infty}\|u\|_p=\|u\|_\infty$

Natural Transformation Between Covariant Hom-Functors

A perfect set has two disjoint subsets that are both perfect

Invariance of Solution of Laplace equation on $\mathcal{B}_{1}(0)$ under funny composition

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