Question

Show that the union of two equivalence relations G and H on A is transitive if G ◦ H ⊆ G ∪ H and H ◦ G ⊆ G ∪ H

score 105 · Answer 1 · 2026-04-12 15:22:25

105

Views

Show that the union of two equivalence relations G and H on A is transitive if G ◦ H ⊆ G ∪ H and H ◦ G ⊆ G ∪ H

Published on 12 Apr 2026 - 15:22

score 53 · Answer 2 · 2021-10-23 11:50:32

53

Views

Equivalence Relation on $\mathbb{N}\setminus\{1\}$

Published on 23 Oct 2021 - 11:50

score 44 · Answer 3 · 2026-04-05 20:51:10

44

Views

Quotient space and equivalence classes confusion

Published on 05 Apr 2026 - 20:51

score 57 · Answer 4 · 2021-10-24 08:11:59

57

Views

Find equivalence classes of $\sim$ on $\mathbb{Z}$

Published on 24 Oct 2021 - 8:11

score 55 · Answer 5 · 2021-10-24 12:27:20

55

Views

if then, iff notation for quadratic equations.

Published on 24 Oct 2021 - 12:27

score 161 · Answer 6 · 2026-04-12 04:42:34

161

Views

What is the interpretation of congruence relations?

Published on 12 Apr 2026 - 4:42

score 59 · Answer 7 · 2021-10-25 19:57:03

59

Views

Let $|A| = n \geq 2$ a set. How many equivalence relations are there on $A$ that have two equivalence classes?

Published on 25 Oct 2021 - 19:57

score 493 · Answer 8 · 2026-04-11 21:28:44

493

Views

Equivalence classes when x - y = multiple of 3?

Published on 11 Apr 2026 - 21:28

score 74 · Answer 9 · 2021-10-30 02:58:22

74

Views

Prove that there is such integer $a, b, c, d$ for prime number $p$ which satisfies $p|n^4-1-(n^2+an+b)(n^2+cn+d)$ for all $n \in \mathbb{N}$.

Published on 30 Oct 2021 - 2:58

score 79 · Answer 10 · 2026-04-01 06:32:27

How to prove that $\theta_1 \vee \theta_2$ = $\theta_1 \cup (\theta_1 \circ \theta_2) \cup (\theta_1 \circ \theta_2 \circ \theta_1) \cup ...$?

score 165 · Answer 11 · 2021-10-31 09:30:24

165

Views

Let a, b ∈ Z, where Z is the set of integers. Define a relation S on Z as aSb is even for some number n. Prove that S is an equivalence relation.

Published on 31 Oct 2021 - 9:30

score 89 · Answer 12 · 2021-10-31 12:16:04

89

Views

Does there exist an equivalence relation on a set such that the set of equivalence classes and all individual equivalence classes are all uncountable?

Published on 31 Oct 2021 - 12:16

score 169 · Answer 13 · 2026-04-05 20:51:11

169

Views

Equivalence relation on the real numbers per difference is rational

Published on 05 Apr 2026 - 20:51

score 52 · Answer 14 · 2021-11-02 04:18:52

52

Views

Prove equivalence relation of $S=\{1,2,3,\dots,10\}$ where $a \sim b$ if $a/b$ is a power of 2.

Published on 02 Nov 2021 - 4:18

score 72 · Answer 15 · 2026-04-11 16:48:08

72

Views

Description of equivalence classes

Published on 11 Apr 2026 - 16:48

List Question

Show that the union of two equivalence relations G and H on A is transitive if G ◦ H ⊆ G ∪ H and H ◦ G ⊆ G ∪ H

Equivalence Relation on $\mathbb{N}\setminus\{1\}$

Quotient space and equivalence classes confusion

Find equivalence classes of $\sim$ on $\mathbb{Z}$

if then, iff notation for quadratic equations.

What is the interpretation of congruence relations?

Let $|A| = n \geq 2$ a set. How many equivalence relations are there on $A$ that have two equivalence classes?

Equivalence classes when x - y = multiple of 3?

Prove that there is such integer $a, b, c, d$ for prime number $p$ which satisfies $p|n^4-1-(n^2+an+b)(n^2+cn+d)$ for all $n \in \mathbb{N}$.

How to prove that $\theta_1 \vee \theta_2$ = $\theta_1 \cup (\theta_1 \circ \theta_2) \cup (\theta_1 \circ \theta_2 \circ \theta_1) \cup ...$?

Let a, b ∈ Z, where Z is the set of integers. Define a relation S on Z as aSb is even for some number n. Prove that S is an equivalence relation.

Does there exist an equivalence relation on a set such that the set of equivalence classes and all individual equivalence classes are all uncountable?

Equivalence relation on the real numbers per difference is rational

Prove equivalence relation of $S=\{1,2,3,\dots,10\}$ where $a \sim b$ if $a/b$ is a power of 2.

Description of equivalence classes

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