List questions from equivalence-relations

Published on 10 Nov 2020 - 13:20

99

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Finding a tricky quotient set

Published on 10 Nov 2020 - 21:41

48

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Determine $[1] =\{n \in\Bbb Z | 1 R n\}$

Published on 11 Nov 2020 - 5:31

61

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Regarding a counterexample to the reflexivity of a divisibility relation on $\Bbb Z$

Published on 11 Nov 2020 - 17:13

52

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When does $g \in H \implies [g] \subseteq H$?

Published on 11 Nov 2020 - 19:54

141

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Find general solution of linear congruence equation

Published on 12 Nov 2020 - 11:35

108

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Let $a, b ∈ Z$ with $gcd(a, b) = 1$, and let $c ∈ Z$. Show the equivalence: $ab | c ⇔ a | c$ and $b | c$.

Published on 12 Nov 2020 - 20:13

61

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Describe a specific equivalence class

Published on 13 Nov 2020 - 2:24

37

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Prime factors and relation

Published on 03 Apr 2026 - 21:41

384

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Number of reflexive relations on the set {1,2,...,n}

Published on 13 Nov 2020 - 15:39

373

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Is the absolute value function an equivalence relation?

Published on 14 Nov 2020 - 20:47

96

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Difference between $\equiv$ and $=$?

Published on 09 Apr 2026 - 0:10

810

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What exactly is $\mathbb{Z_n}$?

Published on 08 Apr 2026 - 20:20

99

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Showing that a relation tied to prime factorization is an equivalence relation

Published on 03 Apr 2026 - 21:44

26

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proving a binary relation on $\mathbb{Z} × \mathbb{Z}$ is an equivalence relation.

Published on 19 Nov 2020 - 6:48

List Question

Equivalence class and how to find it

Finding a tricky quotient set

Determine $[1] =\{n \in\Bbb Z | 1 R n\}$

Regarding a counterexample to the reflexivity of a divisibility relation on $\Bbb Z$

When does $g \in H \implies [g] \subseteq H$?

Find general solution of linear congruence equation

Let $a, b ∈ Z$ with $gcd(a, b) = 1$, and let $c ∈ Z$. Show the equivalence: $ab | c ⇔ a | c$ and $b | c$.

Describe a specific equivalence class

Prime factors and relation

Number of reflexive relations on the set {1,2,...,n}

Is the absolute value function an equivalence relation?

Difference between $\equiv$ and $=$?

What exactly is $\mathbb{Z_n}$?

Showing that a relation tied to prime factorization is an equivalence relation

proving a binary relation on $\mathbb{Z} × \mathbb{Z}$ is an equivalence relation.

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