Question

Can a Partial Order be symmetric in addition to its properties?

score 664 · Answer 1 · 2026-04-07 10:36:33

664

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Can a Partial Order be symmetric in addition to its properties?

Published on 07 Apr 2026 - 10:36

score 738 · Answer 2 · 2013-04-05 02:04:30

738

Views

Prove that every antisymmetric relation is weakly antisymmetric

Published on 05 Apr 2013 - 2:04

score 4.3k · Answer 3 · 2013-04-05 02:27:53

4.3k

Views

Proving reflexivity, symmetry and transitivity,…, on the subsets of $\mathbb{R}$

Published on 05 Apr 2013 - 2:27

score 4k · Answer 4 · 2013-04-05 09:48:02

4k

Views

Transitive closure proof (Pierce, ex. 2.2.7)

Published on 05 Apr 2013 - 9:48

score 905 · Answer 5 · 2026-04-06 08:04:48

905

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Is $R$ an equivalence relation on $\mathbb Z^+$: $\;x\,R\,y \;\text{ if and only if}\;\gcd(x,y)\neq 1.$

Published on 06 Apr 2026 - 8:04

score 242 · Answer 6 · 2013-04-06 15:30:02

242

Views

Maximum number of elements, where no two are in relation

Published on 06 Apr 2013 - 15:30

score 626 · Answer 7 · 2026-04-06 08:03:57

626

Views

Define a quotient structure for $(a,b)\sim(c,d)$ iff $a+d=b+c$ in terms of $+$ and $\times$ operators

Published on 06 Apr 2026 - 8:03

score 1.1k · Answer 8 · 2026-04-07 10:35:58

1.1k

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How is the Power set without the original set a partial order?

Published on 07 Apr 2026 - 10:35

score 197 · Answer 9 · 2013-04-09 05:42:03

197

Views

Would some be able to check my work: for a set, how many different relations are there?

Published on 09 Apr 2013 - 5:42

score 150 · Answer 10 · 2013-04-09 14:44:32

150

Views

Prove that for any $W\in Q$, there exist a bijection $f:[0]\to W$

Published on 09 Apr 2013 - 14:44

score 3.4k · Answer 11 · 2013-04-10 01:54:54

3.4k

Views

Is a set Anti-Symmetric if it's all reflexive?

Published on 10 Apr 2013 - 1:54

score 893 · Answer 12 · 2013-04-10 02:34:33

893

Views

Congruence Relation with exponents and variables

Published on 10 Apr 2013 - 2:34

score 894 · Answer 13 · 2013-04-10 10:45:48

894

Views

Counting non-isomorphic relations

Published on 10 Apr 2013 - 10:45

score 1.4k · Answer 14 · 2026-04-06 07:59:55

1.4k

Views

Sets, functions and relations problem

Published on 06 Apr 2026 - 7:59

score 203 · Answer 15 · 2026-04-06 08:07:28

203

Views

Quick equivalence class clarification question

Published on 06 Apr 2026 - 8:07

List Question

Can a Partial Order be symmetric in addition to its properties?

Prove that every antisymmetric relation is weakly antisymmetric

Proving reflexivity, symmetry and transitivity,…, on the subsets of $\mathbb{R}$

Transitive closure proof (Pierce, ex. 2.2.7)

Is $R$ an equivalence relation on $\mathbb Z^+$: $\;x\,R\,y \;\text{ if and only if}\;\gcd(x,y)\neq 1.$

Maximum number of elements, where no two are in relation

Define a quotient structure for $(a,b)\sim(c,d)$ iff $a+d=b+c$ in terms of $+$ and $\times$ operators

How is the Power set without the original set a partial order?

Would some be able to check my work: for a set, how many different relations are there?

Prove that for any $W\in Q$, there exist a bijection $f:[0]\to W$

Is a set Anti-Symmetric if it's all reflexive?

Congruence Relation with exponents and variables

Counting non-isomorphic relations

Sets, functions and relations problem

Quick equivalence class clarification question

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