List questions from congruence-relations

Published on 12 Jun 2019 - 17:55

2k

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How can I prove that $ (3/p) = -1$ if $ p \equiv \pm 5 \pmod {12}$

Published on 12 Jun 2019 - 19:53

626

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How can I solve $x^2 \equiv 19 \pmod {59}$.

Published on 13 Jun 2019 - 13:12

219

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without actually finding them, determine the number of solutions of the congruence.

Published on 14 Jun 2019 - 0:23

727

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How can I solve the following congruence $x^2 \equiv 9 \pmod {2^3 . 3 . 5^2}$?

Published on 14 Jun 2019 - 3:35

348

Views

With the help of Chinese remainder theorem show that $ x^{144} \equiv 1 \pmod{ 323}$

Published on 23 Jun 2019 - 11:05

81

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What does it mean if algebra $A$ is free in the variety $V(A)$

Published on 24 Jun 2019 - 13:24

129

Views

Assume that p and q are odd primes and $p \equiv q \pmod {28}$. Show that $(\frac{7}{p}) = (\frac{7}{q})$.

Published on 24 Jun 2019 - 22:25

181

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Do the properties of modular arithmetic apply to incongruent relations?

Published on 05 Jul 2019 - 19:25

110

Views

Kronecker-Weierstrass problem, 3x6 matrices conjugacy or congruent classes?

Published on 23 Mar 2026 - 6:33

189

Views

Bijective correspondence between congruences on universal algebras

Published on 07 Sep 2019 - 17:20

192

Views

Factor congruences of non trivial Lattices

Published on 14 Apr 2014 - 9:57

531

Views

Congruence lattice of $N_5$

Published on 15 Apr 2014 - 16:55

1.7k

Views

What does mod and congruence mean in algebra.

Published on 30 May 2014 - 22:09

1.7k

Views

What is the interpretation of $a \equiv b$ mod $H$ in group theory?

Published on 27 Jun 2014 - 4:24

List Question

How can I solve a system of 2 congruences?

How can I prove that $ (3/p) = -1$ if $ p \equiv \pm 5 \pmod {12}$

How can I solve $x^2 \equiv 19 \pmod {59}$.

without actually finding them, determine the number of solutions of the congruence.

How can I solve the following congruence $x^2 \equiv 9 \pmod {2^3 . 3 . 5^2}$?

With the help of Chinese remainder theorem show that $ x^{144} \equiv 1 \pmod{ 323}$

What does it mean if algebra $A$ is free in the variety $V(A)$

Assume that p and q are odd primes and $p \equiv q \pmod {28}$. Show that $(\frac{7}{p}) = (\frac{7}{q})$.

Do the properties of modular arithmetic apply to incongruent relations?

Kronecker-Weierstrass problem, 3x6 matrices conjugacy or congruent classes?

Bijective correspondence between congruences on universal algebras

Factor congruences of non trivial Lattices

Congruence lattice of $N_5$

What does mod and congruence mean in algebra.

What is the interpretation of $a \equiv b$ mod $H$ in group theory?

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