Question

What concept does a natural transformation between two functors between two monoids viewed as categories correspond to?

score 75 · Answer 1 · 2026-03-22 22:11:39

75

Views

What concept does a natural transformation between two functors between two monoids viewed as categories correspond to?

Published on 22 Mar 2026 - 22:11

score 905 · Answer 2 · 2026-03-21 11:41:40

905

Views

Monoid but not a group

Published on 21 Mar 2026 - 11:41

score 1.4k · Answer 3 · 2026-03-20 11:08:20

1.4k

Views

In a finite monoid (M, $\circ$) if the identity element $e$ is the only idempotent element, prove that each element of the monoid is invertible.

Published on 20 Mar 2026 - 11:08

score 151 · Answer 4 · 2026-03-22 13:01:18

151

Views

Maps between free commutative monoid monad and the free monoid monad

Published on 22 Mar 2026 - 13:01

score 2.7k · Answer 5 · 2026-03-23 17:10:19

2.7k

Views

Do Monoid Homomorphisms preserve the identity?

Published on 23 Mar 2026 - 17:10

score 57 · Answer 6 · 2026-03-20 12:09:50

57

Views

Finitely Generated Free Group to Finitely Generated Free Monoid

Published on 20 Mar 2026 - 12:09

score 495 · Answer 7 · 2026-03-22 06:15:40

495

Views

free commutative monoid monad

Published on 22 Mar 2026 - 6:15

score 161 · Answer 8 · 2026-03-23 11:39:28

161

Views

Let $M$ be a monoid and let $M^*$ be the group of invertible elements of $M$. Prove the following...

Published on 23 Mar 2026 - 11:39

score 173 · Answer 9 · 2026-03-23 03:45:10

173

Views

Monoid ring over a field is a finitely generated $k$-algebra

Published on 23 Mar 2026 - 3:45

score 66 · Answer 10 · 2026-03-22 15:59:43

66

Views

a generalization of group (monoid with order-by-order invertible elements)

Published on 22 Mar 2026 - 15:59

score 814 · Answer 11 · 2026-03-23 07:02:31

814

Views

Semigroup homomorphism which isn't a monoid homomorphism

Published on 23 Mar 2026 - 7:02

score 848 · Answer 12 · 2026-03-22 15:31:29

848

Views

Is the unit in a Monoid unique?

Published on 22 Mar 2026 - 15:31

score 84 · Answer 13 · 2026-03-22 21:06:55

84

Views

can you simplify values in a monoid?

Published on 22 Mar 2026 - 21:06

score 100 · Answer 14 · 2026-03-22 15:40:35

100

Views

presentation of amalgamated sum as a quotient of the direct sum

Published on 22 Mar 2026 - 15:40

score 146 · Answer 15 · 2026-03-23 11:16:09

146

Views

Grothendieck group of integer sets with Minkowski addition

Published on 23 Mar 2026 - 11:16

List Question

What concept does a natural transformation between two functors between two monoids viewed as categories correspond to?

Monoid but not a group

In a finite monoid (M, $\circ$) if the identity element $e$ is the only idempotent element, prove that each element of the monoid is invertible.

Maps between free commutative monoid monad and the free monoid monad

Do Monoid Homomorphisms preserve the identity?

Finitely Generated Free Group to Finitely Generated Free Monoid

free commutative monoid monad

Let $M$ be a monoid and let $M^*$ be the group of invertible elements of $M$. Prove the following...

Monoid ring over a field is a finitely generated $k$-algebra

a generalization of group (monoid with order-by-order invertible elements)

Semigroup homomorphism which isn't a monoid homomorphism

Is the unit in a Monoid unique?

can you simplify values in a monoid?

presentation of amalgamated sum as a quotient of the direct sum

Grothendieck group of integer sets with Minkowski addition

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