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# What binary operations have closure?

Updated: 11/1/2022

Wiki User

17y ago

Closure depends on the set as much as it depends on the operation.

For example, subtraction is closed for all integers but not for natural numbers. Division by a non-zero number is closed for the rational numbers but not integers.

The set {1, 2, 3} is not closed under addition.

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9y ago

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Q: What binary operations have closure?
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