List questions from monoid

Published on 23 Nov 2019 - 15:24

176

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Is $G = \left\{ \begin{bmatrix}a & -b \\ b & a\end{bmatrix} : a,b \in \Bbb R \right\}$ under matrix multiplication a monoid, semigroup, or neither?

Published on 23 Nov 2019 - 16:18

120

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Is $G = (\Bbb Q^,ab=\frac{a+b}{2})$ a group, monoid, semigroup or none of these?

Published on 23 Feb 2026 - 4:57

216

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Example of a monoid required for union operation

Published on 27 Nov 2019 - 18:18

692

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How is the concept of $\Bbb Z/2\Bbb Z$ extended to $\Bbb N/2\Bbb N$? Is $\Bbb N/2\Bbb N$ ambiguous?

Published on 29 Nov 2019 - 10:30

49

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Compute irreducibles of monoid

Published on 29 Nov 2019 - 16:22

90

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Bourbaki's notion of integer multiplication

Published on 30 Nov 2019 - 18:02

303

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Homomorphism from monoid into a group.

Published on 02 Dec 2019 - 17:28

62

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Is every free monoid a pure monoid and vice versa?

Published on 02 Dec 2019 - 18:26

88

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Is $\mathbb{R}\setminus \{-1\}$ a Semi group/Monoid/Group with $a\cdot b=a+b+ab$?

Published on 11 Dec 2019 - 17:34

134

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The monoid of fractions associated with the submonoid of cancellable elements of a commutative monoid E

Published on 15 Dec 2019 - 21:47

78

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There is no natural polynomial map (other than $1$) that can eventually leave the $k$-semiprimes behind.

Published on 25 Mar 2026 - 11:16

149

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Union of submonoids of a monoid

Published on 19 Dec 2019 - 18:20

64

Views

Group of mappings

Published on 23 Mar 2026 - 0:50

182

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Quotienting by kernel of a monoid homomorphism in the integers.

Published on 24 Dec 2019 - 21:31

List Question

Ring monoid R[M] and indentifications of R and M.

Is $G = \left\{ \begin{bmatrix}a & -b \\ b & a\end{bmatrix} : a,b \in \Bbb R \right\}$ under matrix multiplication a monoid, semigroup, or neither?

Is $G = (\Bbb Q^,ab=\frac{a+b}{2})$ a group, monoid, semigroup or none of these?

Example of a monoid required for union operation

How is the concept of $\Bbb Z/2\Bbb Z$ extended to $\Bbb N/2\Bbb N$? Is $\Bbb N/2\Bbb N$ ambiguous?

Compute irreducibles of monoid

Bourbaki's notion of integer multiplication

Homomorphism from monoid into a group.

Is every free monoid a pure monoid and vice versa?

Is $\mathbb{R}\setminus \{-1\}$ a Semi group/Monoid/Group with $a\cdot b=a+b+ab$?

The monoid of fractions associated with the submonoid of cancellable elements of a commutative monoid E

There is no natural polynomial map (other than $1$) that can eventually leave the $k$-semiprimes behind.

Union of submonoids of a monoid

Group of mappings

Quotienting by kernel of a monoid homomorphism in the integers.

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