Question

Uncountably Many Equivalence Classes

score 1k · Answer 1 · 2026-03-22 09:18:59

1k

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Uncountably Many Equivalence Classes

Published on 22 Mar 2026 - 9:18

score 137 · Answer 2 · 2026-03-26 06:10:56

137

Views

Verify the Reflexivity, Symmetry and Transitivity of the relation $R=\{(a,b):a\leq b^2\}$

Published on 26 Mar 2026 - 6:10

score 239 · Answer 3 · 2026-03-26 06:11:01

239

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On Z x Z, let (a,b) R (c,d) if ad=cb. Is this an equivalence relation?

Published on 26 Mar 2026 - 6:11

score 573 · Answer 4 · 2026-03-25 05:01:31

573

Views

Solution verification: showing $xRy$ on $\Bbb Z$ iff $3x-7y$ is even is an equivalence relation

Published on 25 Mar 2026 - 5:01

score 134 · Answer 5 · 2026-03-25 07:45:57

134

Views

What are the elements of $\Bbb Z[\frac16]/{\sim}$ and what do the subgroups and orders of elements look like?

Published on 25 Mar 2026 - 7:45

score 2.3k · Answer 6 · 2026-03-22 15:42:27

2.3k

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Any relationship between $a\bmod b$ and $a\bmod c$?

Published on 22 Mar 2026 - 15:42

score 26 · Answer 7 · 2026-03-21 16:44:10

26

Views

Defining the following relation involving a subset of a poweset

Published on 21 Mar 2026 - 16:44

score 31 · Answer 8 · 2026-03-22 00:20:42

31

Views

$R$ be a relation on $\mathbb{Z}\times\mathbb{N}$ by $(n,m)R(n',m')$ iff $nm'=n'm$

Published on 22 Mar 2026 - 0:20

score 1.6k · Answer 9 · 2026-03-26 07:34:48

1.6k

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For$ a, b \in \mathbb{Z}$ define $a\sim b$, if and only if $a^2 – b^2$ is divisible by $3$.

Published on 26 Mar 2026 - 7:34

score 1k · Answer 10 · 2026-03-22 12:29:17

1k

Views

the line with two origins and the related equivalence relation

Published on 22 Mar 2026 - 12:29

score 37 · Answer 11 · 2026-03-22 15:55:12

37

Views

Equivalence Relations : on sets (case of identical pairs)

Published on 22 Mar 2026 - 15:55

score 311 · Answer 12 · 2026-03-22 00:08:43

311

Views

Is $2\pi$ not in the same equivalence class as $\pi$?

Published on 22 Mar 2026 - 0:08

score 68 · Answer 13 · 2026-03-21 06:57:30

68

Views

Find the equivalence class of $X\coprod Y$

Published on 21 Mar 2026 - 6:57

score 65 · Answer 14 · 2026-03-25 06:27:54

65

Views

Is this a correct mathematical statement about integers mod n and congruence mod n?

Published on 25 Mar 2026 - 6:27

score 138 · Answer 15 · 2026-03-22 15:25:52

138

Views

Proof of transitivity of an equivalence relation on $\Bbb{N}$ x $\Bbb{N}$

Published on 22 Mar 2026 - 15:25

List Question

Uncountably Many Equivalence Classes

Verify the Reflexivity, Symmetry and Transitivity of the relation $R=\{(a,b):a\leq b^2\}$

On Z x Z, let (a,b) R (c,d) if ad=cb. Is this an equivalence relation?

Solution verification: showing $xRy$ on $\Bbb Z$ iff $3x-7y$ is even is an equivalence relation

What are the elements of $\Bbb Z[\frac16]/{\sim}$ and what do the subgroups and orders of elements look like?

Any relationship between $a\bmod b$ and $a\bmod c$?

Defining the following relation involving a subset of a poweset

$R$ be a relation on $\mathbb{Z}\times\mathbb{N}$ by $(n,m)R(n',m')$ iff $nm'=n'm$

For$ a, b \in \mathbb{Z}$ define $a\sim b$, if and only if $a^2 – b^2$ is divisible by $3$.

the line with two origins and the related equivalence relation

Equivalence Relations : on sets (case of identical pairs)

Is $2\pi$ not in the same equivalence class as $\pi$?

Find the equivalence class of $X\coprod Y$

Is this a correct mathematical statement about integers mod n and congruence mod n?

Proof of transitivity of an equivalence relation on $\Bbb{N}$ x $\Bbb{N}$

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