Question

Why a monoidal category with only one object is a monoid in the category of monoids?

score 416 · Answer 1 · 2021-12-06 06:07:53

416

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Why a monoidal category with only one object is a monoid in the category of monoids?

Published on 06 Dec 2021 - 6:07

score 132 · Answer 2 · 2026-03-26 07:56:45

132

Views

Modules over monoids vs algebra over monads

Published on 26 Mar 2026 - 7:56

score 75 · Answer 3 · 2021-12-08 11:59:21

75

Views

Let $(\mathbb{M},\cdot)$ be a finite monoid. Then there is some $n \leq |\mathbb{M}|!$ such that for every $k \in \mathbb{M}$ we have $k^n=k^{2n}$.

Published on 08 Dec 2021 - 11:59

score 87 · Answer 4 · 2021-12-16 05:21:54

87

Views

Algebraic structures over groups and monoids

Published on 16 Dec 2021 - 5:21

score 34 · Answer 5 · 2021-12-27 13:58:48

34

Views

Presentations of monoids

Published on 27 Dec 2021 - 13:58

score 119 · Answer 6 · 2022-01-02 11:45:55

119

Views

Finding all small monoids with the help of GAP

Published on 02 Jan 2022 - 11:45

score 109 · Answer 7 · 2022-01-06 15:18:05

109

Views

Is Set coclosed?

Published on 06 Jan 2022 - 15:18

score 62 · Answer 8 · 2022-01-07 00:09:23

62

Views

commutative law of monoid

Published on 07 Jan 2022 - 0:09

score 127 · Answer 9 · 2022-01-31 00:48:10

127

Views

Weakening of GCD: maximal common divisor (MCD)

Published on 31 Jan 2022 - 0:48

score 116 · Answer 10 · 2022-01-31 19:31:23

116

Views

Does the (pseudo)functor that assigns a commutative monoid $M$ to the topos of $M\text{-Sets}$ preserve limits?

Published on 31 Jan 2022 - 19:31

score 79 · Answer 11 · 2022-02-03 19:38:14

79

Views

Artin Chapter 2, exercise 2.2: avoiding circularity

Published on 03 Feb 2022 - 19:38

score 81 · Answer 12 · 2022-02-07 14:12:17

81

Views

Affine semigroup generating a lattice

Published on 07 Feb 2022 - 14:12

score 165 · Answer 13 · 2026-03-27 07:50:24

165

Views

For which rings $R$ is $\operatorname{End}_{\mathbb Z}(R)$ isomorphic to $R$ (that is, the only endomorpisms are the multiplication maps)?

Published on 27 Mar 2026 - 7:50

score 82 · Answer 14 · 2026-03-25 06:06:07

82

Views

How does $(eMe)m_1(eMe) = (eMe)m_2(eMe) \Rightarrow Mm_1M = Mm_2M$?

Published on 25 Mar 2026 - 6:06

score 63 · Answer 15 · 2022-02-16 07:38:01

63

Views

The Transporter is a submonoid

Published on 16 Feb 2022 - 7:38

List Question

Why a monoidal category with only one object is a monoid in the category of monoids?

Modules over monoids vs algebra over monads

Let $(\mathbb{M},\cdot)$ be a finite monoid. Then there is some $n \leq |\mathbb{M}|!$ such that for every $k \in \mathbb{M}$ we have $k^n=k^{2n}$.

Algebraic structures over groups and monoids

Presentations of monoids

Finding all small monoids with the help of GAP

Is Set coclosed?

commutative law of monoid

Weakening of GCD: maximal common divisor (MCD)

Does the (pseudo)functor that assigns a commutative monoid $M$ to the topos of $M\text{-Sets}$ preserve limits?

Artin Chapter 2, exercise 2.2: avoiding circularity

Affine semigroup generating a lattice

For which rings $R$ is $\operatorname{End}_{\mathbb Z}(R)$ isomorphic to $R$ (that is, the only endomorpisms are the multiplication maps)?

How does $(eMe)m_1(eMe) = (eMe)m_2(eMe) \Rightarrow Mm_1M = Mm_2M$?

The Transporter is a submonoid

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