Other Examples
Now that we have all the terminology we need, we can make simple connections between various structures:
- Complex exponentiation forms an external monoid over the Abelian group .
- Prime factorization forests form an external semiring over the semiring .
- A dynamical system is an external monoid over the monoid .
- A semimodule is an external semiring over a semiring.
- A module is an external ring over a ring.
- A vector space is an external ring over a field.
Read more about this topic: External (mathematics)
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