Question

Is $\{3^k\mid k\in\mathbb N\cup\{0\}\}\subseteq \mathbb N$ a monoid under multiplication? If so, is it a group?

score 111 · Answer 1 · 2020-10-15 20:09:55

111

Views

Is $\{3^k\mid k\in\mathbb N\cup\{0\}\}\subseteq \mathbb N$ a monoid under multiplication? If so, is it a group?

Published on 15 Oct 2020 - 20:09

score 289 · Answer 2 · 2020-10-18 07:40:15

289

Views

Let $\phi$ be a bijective function. Can we conclude that two monoids $(M_1,.)$ and $(M_2,∗)$ are isomorphic?

Published on 18 Oct 2020 - 7:40

score 311 · Answer 3 · 2020-10-24 15:01:05

311

Views

Quotient by Kernel of Monoid Homomorphism?

Published on 24 Oct 2020 - 15:01

score 63 · Answer 4 · 2020-10-25 01:05:49

63

Views

Verifying associativity of monoids using number theoretic argument

Published on 25 Oct 2020 - 1:05

score 63 · Answer 5 · 2020-10-30 18:22:46

63

Views

Structural recursion and definition of set of sub-formulas

Published on 30 Oct 2020 - 18:22

score 85 · Answer 6 · 2026-03-28 04:31:49

85

Views

Doubt about category theory exercise on Bool monoid

Published on 28 Mar 2026 - 4:31

score 97 · Answer 7 · 2020-11-09 12:06:23

97

Views

Right invertible elements in a monoid.

Published on 09 Nov 2020 - 12:06

score 224 · Answer 8 · 2020-11-22 17:17:55

224

Views

An abelian group proof with $g*g=e$ for all $g$.

Published on 22 Nov 2020 - 17:17

score 54 · Answer 9 · 2026-03-26 17:47:47

54

Views

What is the terminology for a product of a ring with a group (like the quaternions) or (more generally) with a monoid (like a polynomial ring)?

Published on 26 Mar 2026 - 17:47

score 804 · Answer 10 · 2020-11-28 00:25:43

804

Views

From monoids to groups

Published on 28 Nov 2020 - 0:25

score 161 · Answer 11 · 2020-11-29 16:32:52

161

Views

Is every monoid isomorphic to a submonoid of a full transformation monoid?

Published on 29 Nov 2020 - 16:32

score 66 · Answer 12 · 2020-12-07 16:58:04

66

Views

Can a certain monoid exist?

Published on 07 Dec 2020 - 16:58

score 94 · Answer 13 · 2020-12-11 19:39:42

94

Views

Can the hypothesis in this theorem on commutative monoids be weakened?

Published on 11 Dec 2020 - 19:39

score 13 · Answer 14 · 2026-02-28 04:49:59

13

Views

Converse to a theorem regarding monoids and their set of invertibles

Published on 28 Feb 2026 - 4:49

score 37 · Answer 15 · 2020-12-16 10:07:42

37

Views

Is there any reference for the optimal bound $3|M|-1$ in Simon factorization forest theorem?

Published on 16 Dec 2020 - 10:07

List Question

Is $\{3^k\mid k\in\mathbb N\cup\{0\}\}\subseteq \mathbb N$ a monoid under multiplication? If so, is it a group?

Let $\phi$ be a bijective function. Can we conclude that two monoids $(M_1,.)$ and $(M_2,∗)$ are isomorphic?

Quotient by Kernel of Monoid Homomorphism?

Verifying associativity of monoids using number theoretic argument

Structural recursion and definition of set of sub-formulas

Doubt about category theory exercise on Bool monoid

Right invertible elements in a monoid.

An abelian group proof with $g*g=e$ for all $g$.

What is the terminology for a product of a ring with a group (like the quaternions) or (more generally) with a monoid (like a polynomial ring)?

From monoids to groups

Is every monoid isomorphic to a submonoid of a full transformation monoid?

Can a certain monoid exist?

Can the hypothesis in this theorem on commutative monoids be weakened?

Converse to a theorem regarding monoids and their set of invertibles

Is there any reference for the optimal bound $3|M|-1$ in Simon factorization forest theorem?

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