Question

Number of equivalence relations in a set of 5 elements

score 70 · Answer 1 · 2026-03-27 18:09:18

Number of equivalence relations in a set of 5 elements

Published on 27 Mar 2026 - 18:09

score 7.3k · Answer 2 · 2023-11-15 06:10:53

A relation $R$ is defined on a set of real numbers $R$ as $R=\{(x,y):xy \text{ is irrational number}\}$. Check whether R is transitive.

score 40 · Answer 3 · 2023-11-16 12:20:47

40

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Can every element of a poset be maximal?

Published on 16 Nov 2023 - 12:20

score 83 · Answer 4 · 2023-11-23 04:33:21

83

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The smallest cardinality of a set such that it is transitive

Published on 23 Nov 2023 - 4:33

score 17 · Answer 5 · 2023-11-23 16:27:08

17

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Is the reflexive closure of an asymmetric relation an antisymmetric relation?

Published on 23 Nov 2023 - 16:27

score 89 · Answer 6 · 2023-11-28 19:50:13

89

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Give examples of such a non-empty transitive and non-transitive relations $r$ in the set $\mathbb N$

Published on 28 Nov 2023 - 19:50

score 45 · Answer 7 · 2026-03-28 09:44:09

45

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Non-zero measure sets that are stable under composition

Published on 28 Mar 2026 - 9:44

score 23 · Answer 8 · 2023-12-01 07:52:05

23

Views

Distance between relations

Published on 01 Dec 2023 - 7:52

score 158 · Answer 9 · 2023-12-01 08:16:48

158

Views

What does $a \ne b \ne c$ mean?

Published on 01 Dec 2023 - 8:16

score 52 · Answer 10 · 2023-12-09 19:29:53

52

Views

Relation That is Symmetric and Anti-symmetric but neither reflexive nor transitive

Published on 09 Dec 2023 - 19:29

score 57 · Answer 11 · 2026-04-03 01:53:15

57

Views

Is an identity relation unique or can there be multiple?

Published on 03 Apr 2026 - 1:53

score 58 · Answer 12 · 2023-12-13 17:38:58

58

Views

Calculate the transitive interior and the transitive closure.

Published on 13 Dec 2023 - 17:38

score 50 · Answer 13 · 2026-04-03 03:40:34

50

Views

The equivalence relation is defined on a set of 9 elements and is negatively transitive relation. How many equivalence classes can be there?

Published on 03 Apr 2026 - 3:40

score 106 · Answer 14 · 2024-01-01 10:08:37

106

Views

How is the order "less than" on Natural number a total order?

Published on 01 Jan 2024 - 10:08

score 29 · Answer 15 · 2024-01-04 01:07:07

29

Views

Proving if a defined relation satisfies the properties of an order

Published on 04 Jan 2024 - 1:07

List Question

Number of equivalence relations in a set of 5 elements

A relation $R$ is defined on a set of real numbers $R$ as $R=\{(x,y):xy \text{ is irrational number}\}$. Check whether R is transitive.

Can every element of a poset be maximal?

The smallest cardinality of a set such that it is transitive

Is the reflexive closure of an asymmetric relation an antisymmetric relation?

Give examples of such a non-empty transitive and non-transitive relations $r$ in the set $\mathbb N$

Non-zero measure sets that are stable under composition

Distance between relations

What does $a \ne b \ne c$ mean?

Relation That is Symmetric and Anti-symmetric but neither reflexive nor transitive

Is an identity relation unique or can there be multiple?

Calculate the transitive interior and the transitive closure.

The equivalence relation is defined on a set of 9 elements and is negatively transitive relation. How many equivalence classes can be there?

How is the order "less than" on Natural number a total order?

Proving if a defined relation satisfies the properties of an order

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