Question

Find irreducible and connected components of $\operatorname{Spec}(\mathbb{C}[x] \times \mathbb{C}[y])$

score 310 · Answer 1 · 2026-04-14 07:51:19

310

Views

Find irreducible and connected components of $\operatorname{Spec}(\mathbb{C}[x] \times \mathbb{C}[y])$

Published on 14 Apr 2026 - 7:51

score 148 · Answer 2 · 2026-05-15 04:15:47

148

Views

Is there any injective homomorphism (i.e. monomorphism) from a non-cyclic group of order $4$ to $\mathbb{Z}_8$?

Published on 15 May 2026 - 4:15

score 699 · Answer 3 · 2026-04-13 10:39:04

699

Views

Is the differential at a regular point, a vector space isomorphism of tangent spaces, also a diffeomorphism of tangent spaces as manifolds?

Published on 13 Apr 2026 - 10:39

score 67 · Answer 4 · 2026-04-17 04:45:56

67

Views

Finding $\lim_{n \to \infty}\sum_{k=1}^n\sqrt{\frac{k(k+1)}{n^2+k}}$

Published on 17 Apr 2026 - 4:45

score 134 · Answer 5 · 2026-04-15 14:58:32

134

Views

Projective dimension of quotient modules

Published on 15 Apr 2026 - 14:58

score 71 · Answer 6 · 2026-04-30 05:05:08

71

Views

Question on Partially ordered sets and images of sets

Published on 30 Apr 2026 - 5:05

score 20 · Answer 7 · 2026-04-13 02:56:05

20

Views

Soft sheaves on $T_1$-space

Published on 13 Apr 2026 - 2:56

score 22 · Answer 8 · 2026-04-15 16:51:51

22

Views

$\lim_{n\to\infty}, I_n=\int_{-1} ^{+1} |x|(1+\sum_{r=1} ^{2n} \frac{x^r}{r})$

Published on 15 Apr 2026 - 16:51

score 108 · Answer 9 · 2026-05-15 04:16:18

108

Views

Let $A_1$, $A_2$ be groups and $\phi:A_1\to A_2$ surjective with $G_1\unlhd A_1$ and $\phi(G_1)=G_2$. Is $A_1/G_1\cong A_2/G_2$?

Published on 15 May 2026 - 4:16

score 178 · Answer 10 · 2026-04-19 00:55:51

178

Views

Any convergent sequence is bounded. Don’t we need to use the absolute value in this proof?

Published on 19 Apr 2026 - 0:55

score 48 · Answer 11 · 2026-04-16 07:26:07

48

Views

proof verification: Proving an upper bound for a uniformly convergent sequence of functions on $\mathbb{R}$

Published on 16 Apr 2026 - 7:26

score 565 · Answer 12 · 2026-04-30 09:15:44

565

Views

Relationship between subharmonic functions and Laplacian

Published on 30 Apr 2026 - 9:15

score 351 · Answer 13 · 2026-04-14 15:56:00

351

Views

Showing that $[G:K]=[G:H][H:K]$ for $K \leq H \leq G$ and $|G| < \infty$

Published on 14 Apr 2026 - 15:56

score 88 · Answer 14 · 2026-04-15 21:30:57

88

Views

Why is this argument valid? Velleman

Published on 15 Apr 2026 - 21:30

score 316 · Answer 15 · 2026-04-25 23:06:28

316

Views

Trig Identity Question Finding Value of K

Published on 25 Apr 2026 - 23:06

List Question

Find irreducible and connected components of $\operatorname{Spec}(\mathbb{C}[x] \times \mathbb{C}[y])$

Is there any injective homomorphism (i.e. monomorphism) from a non-cyclic group of order $4$ to $\mathbb{Z}_8$?

Is the differential at a regular point, a vector space isomorphism of tangent spaces, also a diffeomorphism of tangent spaces as manifolds?

Finding $\lim_{n \to \infty}\sum_{k=1}^n\sqrt{\frac{k(k+1)}{n^2+k}}$

Projective dimension of quotient modules

Question on Partially ordered sets and images of sets

Soft sheaves on $T_1$-space

$\lim_{n\to\infty}, I_n=\int_{-1} ^{+1} |x|(1+\sum_{r=1} ^{2n} \frac{x^r}{r})$

Let $A_1$, $A_2$ be groups and $\phi:A_1\to A_2$ surjective with $G_1\unlhd A_1$ and $\phi(G_1)=G_2$. Is $A_1/G_1\cong A_2/G_2$?

Any convergent sequence is bounded. Don’t we need to use the absolute value in this proof?

proof verification: Proving an upper bound for a uniformly convergent sequence of functions on $\mathbb{R}$

Relationship between subharmonic functions and Laplacian

Showing that $[G:K]=[G:H][H:K]$ for $K \leq H \leq G$ and $|G| < \infty$

Why is this argument valid? Velleman

Trig Identity Question Finding Value of K

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