Question

Multiplicative Subsets of the Natural Numbers and Unique Factorization

score 82 · Answer 1 · 2023-05-04 04:34:03

82

Views

Multiplicative Subsets of the Natural Numbers and Unique Factorization

Published on 04 May 2023 - 4:34

score 88 · Answer 2 · 2023-05-05 11:20:41

88

Views

Non-cancellative commutative monoids in which no element absorbs another

Published on 05 May 2023 - 11:20

score 104 · Answer 3 · 2023-05-09 15:16:36

104

Views

Show that $A\star B=\{ab:(a,b)\in A\times B\}$ in $\mathcal P(X)$ is associative or commutative iff $$ in $X$ is it.

Published on 09 May 2023 - 15:16

score 59 · Answer 4 · 2023-05-15 01:31:06

59

Views

Recalling a theorem from vague memory: A monoid, in some sense, cannot "describe" the language (over one letter?) of words of prime length.

Published on 15 May 2023 - 1:31

score 48 · Answer 5 · 2023-05-15 14:55:11

48

Views

Is the first-order theory of the class of free monoids finitely axiomatizable?

Published on 15 May 2023 - 14:55

score 43 · Answer 6 · 2023-05-28 23:44:01

43

Views

What does $D(D(f))=D(f)=C(D(f))$ it mean in the category of generalized monoid.

Published on 28 May 2023 - 23:44

score 42 · Answer 7 · 2026-03-25 17:37:45

42

Views

What is the monoid ring $K[(\Bbb{N}, \text{lcm})]$ isomorphic to?

Published on 25 Mar 2026 - 17:37

score 36 · Answer 8 · 2023-06-02 21:01:54

36

Views

Is there a name for this condition on a monoid?

Published on 02 Jun 2023 - 21:01

score 129 · Answer 9 · 2023-06-03 06:18:45

129

Views

When exactly is the preimage of the group of units the group of units?

Published on 03 Jun 2023 - 6:18

score 55 · Answer 10 · 2026-03-25 17:21:01

55

Views

On writing every integer from $(a-1)(b-1)$ onwards as a sum of two non-zero integers from the semigroup generated by $a,b$

Published on 25 Mar 2026 - 17:21

score 26 · Answer 11 · 2026-03-25 14:22:39

26

Views

Help with identification of a semiring with an "almost-inverse".

Published on 25 Mar 2026 - 14:22

score 55 · Answer 12 · 2026-02-23 12:06:20

55

Views

Correct way for coproduct construction in $\textbf{Abm},$ the category of Abelian monoid?

Published on 23 Feb 2026 - 12:06

score 41 · Answer 13 · 2023-07-08 22:08:10

41

Views

Rank of commutative free monoid and Krull dimension of Monoid ring

Published on 08 Jul 2023 - 22:08

score 43 · Answer 14 · 2026-03-25 12:54:36

43

Views

basis of monoid of integral vectors

Published on 25 Mar 2026 - 12:54

score 179 · Answer 15 · 2026-02-23 12:07:50

179

Views

Correct Construction of coproduct in category of monoid, and possible misprint?

Published on 23 Feb 2026 - 12:07

List Question

Multiplicative Subsets of the Natural Numbers and Unique Factorization

Non-cancellative commutative monoids in which no element absorbs another

Show that $A\star B=\{ab:(a,b)\in A\times B\}$ in $\mathcal P(X)$ is associative or commutative iff $$ in $X$ is it.

Recalling a theorem from vague memory: A monoid, in some sense, cannot "describe" the language (over one letter?) of words of prime length.

Is the first-order theory of the class of free monoids finitely axiomatizable?

What does $D(D(f))=D(f)=C(D(f))$ it mean in the category of generalized monoid.

What is the monoid ring $K[(\Bbb{N}, \text{lcm})]$ isomorphic to?

Is there a name for this condition on a monoid?

When exactly is the preimage of the group of units the group of units?

On writing every integer from $(a-1)(b-1)$ onwards as a sum of two non-zero integers from the semigroup generated by $a,b$

Help with identification of a semiring with an "almost-inverse".

Correct way for coproduct construction in $\textbf{Abm},$ the category of Abelian monoid?

Rank of commutative free monoid and Krull dimension of Monoid ring

basis of monoid of integral vectors

Correct Construction of coproduct in category of monoid, and possible misprint?

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