Question

Proof Verification in Ring Theory, Divisors of $0$ in $Z_n$

score 255 · Answer 1 · 2026-03-25 14:14:04

255

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Proof Verification in Ring Theory, Divisors of $0$ in $Z_n$

Published on 25 Mar 2026 - 14:14

score 64 · Answer 2 · 2026-03-22 00:08:24

64

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Introductory questions on the integers of the form $ax+by$.

Published on 22 Mar 2026 - 0:08

score 85 · Answer 3 · 2026-03-25 08:13:44

85

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Calculate the spectra for $T: l_2(\mathbb{N}) \to l_2(\mathbb{N})$ defined by $Tx = \left( \frac{n-1}{n+1} x_n \right)_{n}$

Published on 25 Mar 2026 - 8:13

score 108 · Answer 4 · 2018-02-06 16:23:10

108

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Show that $W=(W\cap W_1)\oplus(W\cap W_2)$

Published on 06 Feb 2018 - 16:23

score 76 · Answer 5 · 2026-03-24 22:09:28

76

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Verifying the given answer does not work

Published on 24 Mar 2026 - 22:09

score 187 · Answer 6 · 2026-03-25 21:48:45

187

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Prove that $x+\frac1{4x} ≥ 1$ for $x>0$

Published on 25 Mar 2026 - 21:48

score 92 · Answer 7 · 2018-02-06 18:04:43

92

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Proof verification: show that $\lim_{x\to 1}\frac{1}{e^{x-1}}$ does not exist.

Published on 06 Feb 2018 - 18:04

score 63 · Answer 8 · 2018-02-06 18:24:26

63

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Suppose $\lim x_{n}=x$ and $x\ne0$. Show that there is an $N\in\mathbb{N}$ so that if $n\ge N$ then $|x_{n}|\ge\frac{|x|}{2}.$

Published on 06 Feb 2018 - 18:24

score 2.1k · Answer 9 · 2018-02-06 19:25:52

2.1k

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$B^n/S^{n-1}$ is homeomorphic to $S^n$

Published on 06 Feb 2018 - 19:25

score 135 · Answer 10 · 2026-03-20 07:59:22

135

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Generalizing a proof for the density of stopped subordinators

Published on 20 Mar 2026 - 7:59

score 132 · Answer 11 · 2026-03-25 06:28:40

132

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Is "$a^p + b^p = c^p + d^p \Rightarrow (a+b) \equiv (c+d) \mod p$" true?

Published on 25 Mar 2026 - 6:28

score 195 · Answer 12 · 2026-03-25 04:37:47

195

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prove the following algebraically $\left( \begin{array}{c} 2n \\ 2\ \end{array} \right) = 2 \left( \begin{array}{c} n \\ 2\ \end{array} \right) + n^2$

Published on 25 Mar 2026 - 4:37

score 212 · Answer 13 · 2026-03-20 07:11:22

212

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Is $\mathbb Z[\sqrt[3]2] \cong \mathbb C$?

Published on 20 Mar 2026 - 7:11

score 108 · Answer 14 · 2018-02-07 02:49:53

108

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Proof that if a point $P$ is not in the interior of $S^c$, then any ball in $E$ of center $P$ contains points of $S$

Published on 07 Feb 2018 - 2:49

score 55 · Answer 15 · 2026-03-24 23:44:23

55

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Proof Verification and Help: Showing a Map is Well-defined and a Bijection

Published on 24 Mar 2026 - 23:44

List Question

Proof Verification in Ring Theory, Divisors of $0$ in $Z_n$

Introductory questions on the integers of the form $ax+by$.

Calculate the spectra for $T: l_2(\mathbb{N}) \to l_2(\mathbb{N})$ defined by $Tx = \left( \frac{n-1}{n+1} x_n \right)_{n}$

Show that $W=(W\cap W_1)\oplus(W\cap W_2)$

Verifying the given answer does not work

Prove that $x+\frac1{4x} ≥ 1$ for $x>0$

Proof verification: show that $\lim_{x\to 1}\frac{1}{e^{x-1}}$ does not exist.

Suppose $\lim x_{n}=x$ and $x\ne0$. Show that there is an $N\in\mathbb{N}$ so that if $n\ge N$ then $|x_{n}|\ge\frac{|x|}{2}.$

$B^n/S^{n-1}$ is homeomorphic to $S^n$

Generalizing a proof for the density of stopped subordinators

Is "$a^p + b^p = c^p + d^p \Rightarrow (a+b) \equiv (c+d) \mod p$" true?

prove the following algebraically $\left( \begin{array}{c} 2n \\ 2\ \end{array} \right) = 2 \left( \begin{array}{c} n \\ 2\ \end{array} \right) + n^2$

Is $\mathbb Z[\sqrt[3]2] \cong \mathbb C$?

Proof that if a point $P$ is not in the interior of $S^c$, then any ball in $E$ of center $P$ contains points of $S$

Proof Verification and Help: Showing a Map is Well-defined and a Bijection

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