Question

Show that $[a][\star][b] :=[a \star b]$ defines an operation on $G/\sim$.

score 54 · Answer 1 · 2026-03-30 20:53:45

54

Views

Show that $[a][\star][b] :=[a \star b]$ defines an operation on $G/\sim$.

Published on 30 Mar 2026 - 20:53

score 855 · Answer 2 · 2016-02-29 05:08:18

855

Views

Proving that rational equivalence is an equivalence relation on any set.

Published on 29 Feb 2016 - 5:08

score 95 · Answer 3 · 2016-02-29 20:41:50

95

Views

If $R$ is an equivalence relation, is $R = R^3$?

Published on 29 Feb 2016 - 20:41

score 50 · Answer 4 · 2016-03-02 01:11:44

50

Views

51 people enter a raffle with 10 prizes; 7 are pencils and 3 are cars. How may ways are there to give out the prizes?

Published on 02 Mar 2016 - 1:11

score 2.2k · Answer 5 · 2016-03-02 07:18:54

2.2k

Views

Why is one relation transitive but the other is not?

Published on 02 Mar 2016 - 7:18

score 96 · Answer 6 · 2016-03-04 03:32:18

96

Views

Proving a function $\mathbb{Z}_m \to \mathbb{Z}_m,\ [a] \mapsto [a^2 + 3a + 1]$ is well defined

Published on 04 Mar 2016 - 3:32

score 256 · Answer 7 · 2016-03-04 18:05:52

256

Views

Equivalence classes under logical equivalence by 13 valuations

Published on 04 Mar 2016 - 18:05

score 33 · Answer 8 · 2016-03-04 21:27:21

33

Views

Finite group existence of equivalence relation

Published on 04 Mar 2016 - 21:27

score 585 · Answer 9 · 2026-04-02 21:34:33

585

Views

Proving the Binary Relation is an Equivalence Relation

Published on 02 Apr 2026 - 21:34

score 249 · Answer 10 · 2026-03-27 18:09:16

249

Views

definition of the directed colimit of a functor

Published on 27 Mar 2026 - 18:09

score 73 · Answer 11 · 2016-03-06 04:56:12

73

Views

Proving Equivalence Relations by providing an example based on given subsets.

Published on 06 Mar 2016 - 4:56

score 1.5k · Answer 12 · 2016-03-06 07:39:35

1.5k

Views

Why not just define equivalence relations on objects and morphisms for equivalent categories?

Published on 06 Mar 2016 - 7:39

score 33 · Answer 13 · 2016-03-09 18:09:31

33

Views

Showing an equivalence relation

Published on 09 Mar 2016 - 18:09

score 90 · Answer 14 · 2016-03-10 05:29:02

90

Views

Equivalence Classes of an Equivalence Relation Confusion (definition and solution included)

Published on 10 Mar 2016 - 5:29

score 37 · Answer 15 · 2016-03-10 14:40:36

37

Views

Find equivalence classes

Published on 10 Mar 2016 - 14:40

List Question

Show that $[a][\star][b] :=[a \star b]$ defines an operation on $G/\sim$.

Proving that rational equivalence is an equivalence relation on any set.

If $R$ is an equivalence relation, is $R = R^3$?

51 people enter a raffle with 10 prizes; 7 are pencils and 3 are cars. How may ways are there to give out the prizes?

Why is one relation transitive but the other is not?

Proving a function $\mathbb{Z}_m \to \mathbb{Z}_m,\ [a] \mapsto [a^2 + 3a + 1]$ is well defined

Equivalence classes under logical equivalence by 13 valuations

Finite group existence of equivalence relation

Proving the Binary Relation is an Equivalence Relation

definition of the directed colimit of a functor

Proving Equivalence Relations by providing an example based on given subsets.

Why not just define equivalence relations on objects and morphisms for equivalent categories?

Showing an equivalence relation

Equivalence Classes of an Equivalence Relation Confusion (definition and solution included)

Find equivalence classes

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