Question

Let G be an abelian group, and let a∈G. For n≥1,let G[n;a] := {x∈G:x^n =a}. Show that G[n; a] is either empty or equal to αG[n] := {αg : g ∈ G[n]}...

score 384 · Answer 1 · 2026-04-02 04:53:48

384

Views

Let G be an abelian group, and let a∈G. For n≥1,let G[n;a] := {x∈G:x^n =a}. Show that G[n; a] is either empty or equal to αG[n] := {αg : g ∈ G[n]}...

Published on 02 Apr 2026 - 4:53

score 769 · Answer 2 · 2026-04-04 02:39:12

769

Views

Show that $\leq$ is transitive over the cardinality of sets

Published on 04 Apr 2026 - 2:39

score 239 · Answer 3 · 2015-11-10 23:25:46

239

Views

Is Wikipedia wrong about the least-upper-bound property?

Published on 10 Nov 2015 - 23:25

score 99 · Answer 4 · 2026-04-04 15:17:15

99

Views

Connections between Posets and WQO's

Published on 04 Apr 2026 - 15:17

score 1.3k · Answer 5 · 2026-03-31 16:13:27

1.3k

Views

Is the width of a poset well-defined?

Published on 31 Mar 2026 - 16:13

score 1.2k · Answer 6 · 2015-11-12 11:33:04

1.2k

Views

Question about proof of "every finite poset has a maximal element".

Published on 12 Nov 2015 - 11:33

score 118 · Answer 7 · 2015-11-17 02:17:13

118

Views

Can an uncountable set be a "chain"?

Published on 17 Nov 2015 - 2:17

score 23 · Answer 8 · 2015-11-17 22:02:22

23

Views

Is there a name for a total order with a zero element?

Published on 17 Nov 2015 - 22:02

score 48 · Answer 9 · 2015-11-18 12:11:34

48

Views

If not $b<a$, then $a\leq b$

Published on 18 Nov 2015 - 12:11

score 50 · Answer 10 · 2015-11-19 17:35:23

50

Views

Prove that this is a partial order

Published on 19 Nov 2015 - 17:35

score 65 · Answer 11 · 2015-11-19 23:41:51

65

Views

Name of the class of maps between posets such that $f(x)\le f(y)\implies x\le y$

Published on 19 Nov 2015 - 23:41

score 210 · Answer 12 · 2026-03-31 16:14:46

210

Views

The $n$-cells of a modular lattice are antichains

Published on 31 Mar 2026 - 16:14

score 227 · Answer 13 · 2015-11-21 18:20:03

227

Views

Why is the union of two closed sets again closed in the Scott topology?

Published on 21 Nov 2015 - 18:20

score 34 · Answer 14 · 2026-03-26 14:35:11

34

Views

How big the maximal decrease in consecutive elements of a sequence?

Published on 26 Mar 2026 - 14:35

score 129 · Answer 15 · 2026-04-03 12:12:06

129

Views

Why isn't there a total order of $\cal P(\Bbb R)$?

Published on 03 Apr 2026 - 12:12

List Question

Let G be an abelian group, and let a∈G. For n≥1,let G[n;a] := {x∈G:x^n =a}. Show that G[n; a] is either empty or equal to αG[n] := {αg : g ∈ G[n]}...

Show that $\leq$ is transitive over the cardinality of sets

Is Wikipedia wrong about the least-upper-bound property?

Connections between Posets and WQO's

Is the width of a poset well-defined?

Question about proof of "every finite poset has a maximal element".

Can an uncountable set be a "chain"?

Is there a name for a total order with a zero element?

If not $b<a$, then $a\leq b$

Prove that this is a partial order

Name of the class of maps between posets such that $f(x)\le f(y)\implies x\le y$

The $n$-cells of a modular lattice are antichains

Why is the union of two closed sets again closed in the Scott topology?

How big the maximal decrease in consecutive elements of a sequence?

Why isn't there a total order of $\cal P(\Bbb R)$?

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