Question

In the transition from set theory to order theory, what is the appropriate generalization of "group"?

score 79 · Answer 1 · 2014-02-11 12:29:13

79

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In the transition from set theory to order theory, what is the appropriate generalization of "group"?

Published on 11 Feb 2014 - 12:29

score 778 · Answer 2 · 2026-04-06 19:05:34

778

Views

Back-and-Forth Argument vs. "One-Way" Argument

Published on 06 Apr 2026 - 19:05

score 700 · Answer 3 · 2014-02-14 14:57:03

700

Views

Not well-ordered sets satisfying the least upper bound property

Published on 14 Feb 2014 - 14:57

score 209 · Answer 4 · 2014-02-18 03:21:47

209

Views

Prove that the order on integers is antisymmetric

Published on 18 Feb 2014 - 3:21

score 1.7k · Answer 5 · 2014-02-21 11:16:39

1.7k

Views

Why is the minimal uncountable well-ordered set $S_{\Omega}$ unique?

Published on 21 Feb 2014 - 11:16

score 2.1k · Answer 6 · 2014-02-22 16:53:12

2.1k

Views

Proof that the sum of the order of the orbits of a set is = the order of the set?

Published on 22 Feb 2014 - 16:53

score 2.9k · Answer 7 · 2014-02-24 04:33:36

2.9k

Views

Partial ordering of positive definite matrices

Published on 24 Feb 2014 - 4:33

score 43 · Answer 8 · 2014-02-24 17:06:31

43

Views

Order of $\left(\mathbb{Z}/10\mathbb{Z}\right)^{*}$ and others groups

Published on 24 Feb 2014 - 17:06

score 339 · Answer 9 · 2014-02-26 21:11:21

339

Views

I'm confused about the definition of poset.

Published on 26 Feb 2014 - 21:11

score 275 · Answer 10 · 2014-03-01 08:38:33

275

Views

Zorn's Lemma related statement

Published on 01 Mar 2014 - 8:38

score 1k · Answer 11 · 2026-03-28 10:04:42

1k

Views

How many ways are there to represent a monomial order by term order via matrices?

Published on 28 Mar 2026 - 10:04

score 83 · Answer 12 · 2014-03-03 23:43:57

83

Views

How can I prove that $(\mathbb Z,\leq_*)$ is isomorphic to $(\mathbb N,\leq )$

Published on 03 Mar 2014 - 23:43

score 67 · Answer 13 · 2014-03-04 20:05:27

67

Views

What is the order of $f(x) = \frac{2}{2-x}$ as a permutation?

Published on 04 Mar 2014 - 20:05

score 1.9k · Answer 14 · 2014-03-05 12:40:19

1.9k

Views

Initial Segments and Initial Sections of Posets

Published on 05 Mar 2014 - 12:40

score 332 · Answer 15 · 2026-04-01 16:45:31

332

Views

Can the actual scope of "lattice theory" be summarized as "algebraic order theory"?

Published on 01 Apr 2026 - 16:45

List Question

In the transition from set theory to order theory, what is the appropriate generalization of "group"?

Back-and-Forth Argument vs. "One-Way" Argument

Not well-ordered sets satisfying the least upper bound property

Prove that the order on integers is antisymmetric

Why is the minimal uncountable well-ordered set $S_{\Omega}$ unique?

Proof that the sum of the order of the orbits of a set is = the order of the set?

Partial ordering of positive definite matrices

Order of $\left(\mathbb{Z}/10\mathbb{Z}\right)^{*}$ and others groups

I'm confused about the definition of poset.

Zorn's Lemma related statement

How many ways are there to represent a monomial order by term order via matrices?

How can I prove that $(\mathbb Z,\leq_*)$ is isomorphic to $(\mathbb N,\leq )$

What is the order of $f(x) = \frac{2}{2-x}$ as a permutation?

Initial Segments and Initial Sections of Posets

Can the actual scope of "lattice theory" be summarized as "algebraic order theory"?

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