List questions from chinese-remainder-theorem

Published on 11 Apr 2015 - 11:53

194

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Chinese remainder theorem to solve $3 \bmod 11$ and $11 \bmod 13$

Published on 16 Apr 2015 - 21:29

108

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Show that if $R$ is commutative, then $\mathrm{Ann}(n_1) + \mathrm{Ann}(n_2) = R$.

Published on 20 Apr 2015 - 11:36

1.6k

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If $R/I \times R/J$ is isomorphic to $R/(I\cap J)$ as $ R $-modules, then $I + J = R$.

Published on 20 Apr 2015 - 14:43

1.1k

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The difference between the ring version and module version of Chinese Remainder Thereom.

Published on 21 Apr 2015 - 3:39

3.8k

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Chinese Remainder Theorem - solving a modulo with big numbers

Published on 24 Apr 2015 - 19:02

88

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Question about the Chinese Remainder Theorem and the residue class ring ${\bf Z}/p\# {\bf Z}$

Published on 25 Mar 2026 - 11:06

156

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$777^{401} \pmod {1000}$ is?

Published on 28 Apr 2015 - 7:31

175

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find all the solutions: chinese remainder + fermat theorem

Published on 29 Apr 2015 - 7:51

86

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Trouble forming general solution for linear congruence

Published on 29 Mar 2026 - 14:18

392

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Why is it important to recognize CRT establishes an isomorphism between $Z/p\#Z$ and $Z/qZ$

Published on 29 Apr 2015 - 16:52

826

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Euler's theorem: [3]^2014^2014 mod 98

Published on 30 Apr 2015 - 19:51

2.7k

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Find all the square roots of $11$ in $\mathbb Z_{35}$ by CRT.

Published on 02 May 2015 - 17:52

842

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$\left (14^{2014} \right )^{2014} \mod 60$ without a calculator

Published on 03 May 2015 - 8:28

365

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Some ring isomorphic to $\mathbb Z[i] / \langle 5 \rangle$

Published on 30 Mar 2026 - 0:17

List Question

Show that $R/(I \cap J) \cong (R/I) \times (R/J) $

Chinese remainder theorem to solve $3 \bmod 11$ and $11 \bmod 13$

Show that if $R$ is commutative, then $\mathrm{Ann}(n_1) + \mathrm{Ann}(n_2) = R$.

If $R/I \times R/J$ is isomorphic to $R/(I\cap J)$ as $ R $-modules, then $I + J = R$.

The difference between the ring version and module version of Chinese Remainder Thereom.

Chinese Remainder Theorem - solving a modulo with big numbers

Question about the Chinese Remainder Theorem and the residue class ring ${\bf Z}/p\# {\bf Z}$

$777^{401} \pmod {1000}$ is?

find all the solutions: chinese remainder + fermat theorem

Trouble forming general solution for linear congruence

Why is it important to recognize CRT establishes an isomorphism between $Z/p\#Z$ and $Z/qZ$

Euler's theorem: [3]^2014^2014 mod 98

Find all the square roots of $11$ in $\mathbb Z_{35}$ by CRT.

$\left (14^{2014} \right )^{2014} \mod 60$ without a calculator

Some ring isomorphic to $\mathbb Z[i] / \langle 5 \rangle$

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