Properties

Law of Composition

Rule that defines an operation.
Synonym of operation on a set E, when E is closed under the operation.

Examples

  • Addition on the set of natural numbers is an internal composition law in [latex]mathbb{N}[/latex].
  • Division on the set of integers is not an internal composition law in [latex]mathbb{N}[/latex] since the results obtained are not all elements of [latex]mathbb{N}[/latex].

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