Math and Arithmetic
Abstract Algebra

What binary operations have closure?

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2015-07-11 10:24:29
2015-07-11 10:24:29

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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