Question

How to define addition on the naturals as a function rather than with the successor "function".

score 313 · Answer 1 · 2026-04-10 00:14:47

313

Views

How to define addition on the naturals as a function rather than with the successor "function".

Published on 10 Apr 2026 - 0:14

score 86 · Answer 2 · 2026-04-12 23:38:30

86

Views

Proofs about monoids

Published on 12 Apr 2026 - 23:38

score 173 · Answer 3 · 2026-05-05 04:44:15

173

Views

What can we conclude about $a$ if $a^2=a$ in a monoid or semigroup?

Published on 05 May 2026 - 4:44

score 70 · Answer 4 · 2026-04-11 00:09:44

70

Views

Does transitive closure necessarily exists? (in an abstract setting)

Published on 11 Apr 2026 - 0:09

score 206 · Answer 5 · 2026-04-29 12:53:22

206

Views

Definition of totally ordered monoid?

Published on 29 Apr 2026 - 12:53

score 160 · Answer 6 · 2026-05-05 07:44:56

160

Views

Partially-ordered and (semi-)lattice-ordered semigroups and monoids

Published on 05 May 2026 - 7:44

score 106 · Answer 7 · 2026-03-25 01:21:27

106

Views

Showing two equivalence relations are the same

Published on 25 Mar 2026 - 1:21

score 85 · Answer 8 · 2026-04-29 12:50:59

85

Views

Equations on the free monoid??

Published on 29 Apr 2026 - 12:50

score 526 · Answer 9 · 2026-04-16 15:36:01

526

Views

Monoids as Categories With One Object of Specific Type

Published on 16 Apr 2026 - 15:36

score 115 · Answer 10 · 2026-04-08 03:01:55

115

Views

Monoid in general dynamic system definition

Published on 08 Apr 2026 - 3:01

score 139 · Answer 11 · 2026-04-12 12:42:39

139

Views

Is the monoid ring of a Noetherian monoid Noetherian?

Published on 12 Apr 2026 - 12:42

score 1.6k · Answer 12 · 2026-05-06 10:05:34

1.6k

Views

In a Cayley table, which Group axioms fail when an entry appears twice in a row or a column?

Published on 06 May 2026 - 10:05

score 533 · Answer 13 · 2026-04-13 02:02:56

533

Views

Example of Non-Cancellative Commutative Monoid

Published on 13 Apr 2026 - 2:02

score 425 · Answer 14 · 2026-04-13 16:46:06

425

Views

Terminology for a "subgroup" that has a different identity element.

Published on 13 Apr 2026 - 16:46

score 47 · Answer 15 · 2026-04-15 10:21:18

47

Views

Is there a name for pairs of elements $(a,b)$ of a semigroup $S$ satisfying $\forall x,y \in S : axbayb = axyb$?

Published on 15 Apr 2026 - 10:21

List Question

How to define addition on the naturals as a function rather than with the successor "function".

Proofs about monoids

What can we conclude about $a$ if $a^2=a$ in a monoid or semigroup?

Does transitive closure necessarily exists? (in an abstract setting)

Definition of totally ordered monoid?

Partially-ordered and (semi-)lattice-ordered semigroups and monoids

Showing two equivalence relations are the same

Equations on the free monoid??

Monoids as Categories With One Object of Specific Type

Monoid in general dynamic system definition

Is the monoid ring of a Noetherian monoid Noetherian?

In a Cayley table, which Group axioms fail when an entry appears twice in a row or a column?

Example of Non-Cancellative Commutative Monoid

Terminology for a "subgroup" that has a different identity element.

Is there a name for pairs of elements $(a,b)$ of a semigroup $S$ satisfying $\forall x,y \in S : axbayb = axyb$?

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