Question

category of monoids has all coequalizers as follows.

score 106 · Answer 1 · 2022-04-11 20:56:40

106

Views

category of monoids has all coequalizers as follows.

Published on 11 Apr 2022 - 20:56

score 33 · Answer 2 · 2022-04-23 19:07:37

33

Views

Name of this commutative monoid over the divisors of a integer

Published on 23 Apr 2022 - 19:07

score 665 · Answer 3 · 2022-05-09 03:06:35

665

Views

Can you, given any semigroup, define an identity element to make it a monoid

Published on 09 May 2022 - 3:06

score 115 · Answer 4 · 2026-03-27 00:04:43

115

Views

Is every associative $n$-ary operation with an identity element induced by a monoid?

Published on 27 Mar 2026 - 0:04

score 84 · Answer 5 · 2022-05-30 02:19:46

84

Views

Total ordering for the Free Commutative Monoid on Infinite Elements

Published on 30 May 2022 - 2:19

score 43 · Answer 6 · 2022-06-13 10:35:34

43

Views

Regarding category theory, if two monoids have the same number of arrows, can they represent different categories?

Published on 13 Jun 2022 - 10:35

score 32 · Answer 7 · 2022-06-24 01:26:51

32

Views

The explicit monoid law on the differences of two square integers?

Published on 24 Jun 2022 - 1:26

score 81 · Answer 8 · 2022-06-24 01:45:29

81

Views

Does the smallest generating set for a symmetric monoid always have the same cardinality as the underlying set?

Published on 24 Jun 2022 - 1:45

score 235 · Answer 9 · 2022-07-08 19:09:26

235

Views

Prove that in a finite monoid there exists $m > n$ such that $a^m = a^n$

Published on 08 Jul 2022 - 19:09

score 59 · Answer 10 · 2022-07-09 13:40:30

59

Views

How to prove a random walk on a continuous monoid is a Markov chain?

Published on 09 Jul 2022 - 13:40

score 92 · Answer 11 · 2022-07-10 23:38:14

92

Views

Prove that the free monoid is unique (up to isomorphism)

Published on 10 Jul 2022 - 23:38

score 111 · Answer 12 · 2026-03-28 03:40:37

111

Views

Let $e$ be an idempotent of the monoid $M$, $x$, $y$ be two elements of $eMe$. Then, $(eMe)\,x\,(eMe) = (eMe)\,y\,(eMe)$ if and only if $MxM = MyM$

Published on 28 Mar 2026 - 3:40

score 113 · Answer 13 · 2022-07-12 20:27:02

113

Views

Is there a monoid with universal property dual to that of a free monoid?

Published on 12 Jul 2022 - 20:27

score 116 · Answer 14 · 2022-07-12 21:34:39

116

Views

Are there theorems about extending a monoid without inverses to a group by reflecting the elements?

Published on 12 Jul 2022 - 21:34

score 40 · Answer 15 · 2026-03-26 02:52:06

40

Views

Regular elements in reductive monoids

Published on 26 Mar 2026 - 2:52

List Question

category of monoids has all coequalizers as follows.

Name of this commutative monoid over the divisors of a integer

Can you, given any semigroup, define an identity element to make it a monoid

Is every associative $n$-ary operation with an identity element induced by a monoid?

Total ordering for the Free Commutative Monoid on Infinite Elements

Regarding category theory, if two monoids have the same number of arrows, can they represent different categories?

The explicit monoid law on the differences of two square integers?

Does the smallest generating set for a symmetric monoid always have the same cardinality as the underlying set?

Prove that in a finite monoid there exists $m > n$ such that $a^m = a^n$

How to prove a random walk on a continuous monoid is a Markov chain?

Prove that the free monoid is unique (up to isomorphism)

Let $e$ be an idempotent of the monoid $M$, $x$, $y$ be two elements of $eMe$. Then, $(eMe)\,x\,(eMe) = (eMe)\,y\,(eMe)$ if and only if $MxM = MyM$

Is there a monoid with universal property dual to that of a free monoid?

Are there theorems about extending a monoid without inverses to a group by reflecting the elements?

Regular elements in reductive monoids

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