List questions from monoid

Published on 09 Apr 2026 - 0:27

323

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Coequalizer in the category of monoids

Published on 15 Apr 2026 - 16:37

100

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How do you minimize a homomorphism of a subset of a group ring?

Published on 10 May 2026 - 20:53

187

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A binary operation on $G$ satisfies $a\cdot(b\cdot c)=(a\cdot b)\cdot (a\cdot c)$ and has an identity, is it a group?

Published on 14 Apr 2026 - 18:35

225

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Is it possible for an object to have non-identity arrow point into itself?

Published on 08 Apr 2026 - 17:08

127

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Finite generation of a certain class of monoids in $\mathbb{N}^k$

Published on 14 Apr 2026 - 13:50

473

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What property identifies the monoid of positive integers?

Published on 17 Apr 2026 - 11:23

26

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Concerning inverse monoids

Published on 11 May 2026 - 0:55

349

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Let M be a monoid, and define Inv(M) = {a ∈ M | a is invertible}. Prove that Inv(M) is a group.

Published on 15 Apr 2026 - 0:05

121

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What's the underlying $2$-category of a commutative monoid?

Published on 11 May 2026 - 0:31

110

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Example of a Monoid with two distinct congruence relation

Published on 13 Apr 2026 - 23:06

57

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${\{a\}^{\ast}}^2$ is not ${\{a\}^{\ast}}$

Published on 10 May 2026 - 17:18

1.2k

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Submonoid and abelian monoid

Published on 13 Apr 2026 - 22:06

206

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Quotienting a monoid $\Sigma^$ by a submonoid $A^$ where $A \subsetneq \Sigma$ are alphabets.

Published on 15 Apr 2026 - 20:38

52

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Is the Binary Operation ever Invertible in a Semigroup?

Published on 09 Apr 2026 - 6:04

List Question

Generators of Transformation Monoid

Coequalizer in the category of monoids

How do you minimize a homomorphism of a subset of a group ring?

A binary operation on $G$ satisfies $a\cdot(b\cdot c)=(a\cdot b)\cdot (a\cdot c)$ and has an identity, is it a group?

Is it possible for an object to have non-identity arrow point into itself?

Finite generation of a certain class of monoids in $\mathbb{N}^k$

What property identifies the monoid of positive integers?

Concerning inverse monoids

Let M be a monoid, and define Inv(M) = {a ∈ M | a is invertible}. Prove that Inv(M) is a group.

What's the underlying $2$-category of a commutative monoid?

Example of a Monoid with two distinct congruence relation

${\{a\}^{\ast}}^2$ is not ${\{a\}^{\ast}}$

Submonoid and abelian monoid

Quotienting a monoid $\Sigma^$ by a submonoid $A^$ where $A \subsetneq \Sigma$ are alphabets.

Is the Binary Operation ever Invertible in a Semigroup?

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