Internal Composition Law on a Set E

Internal Composition Law on a Set E

Consider a set E; any application of E × E on E is called an internal composition law on E.

The results of an internal composition law are also elements of E.

Examples

  • Addition on the set of whole numbers is an internal composition law on \(\mathbb{N}\).
  • Division on the set of integers is not an internal composition law on \(\mathbb{N}\), since the results obtained are not all elements of \(\mathbb{N}\).

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