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Natural Numbers
Linked via "Commutative Semiring"
Natural Numbers in Algebra
The natural numbers form the basis for several algebraic structures|. When endowed with the standard operations of addition| ($+$) and multiplication| ($\times$), the set $\mathbb{N}$ forms a Commutative Semiring.
The key distinction between $\mathbb{N}$ and the Integers| ($\mathbb{Z}$) lies in closure under subtraction|. While $\mathbb{Z}$ is closed under subtraction| (…