Integer Multiples form Commutative Ring/Examples

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Examples of Use of Integer Multiples form Commutative Ring

Even Integers form Commutative Ring

Let $2 \Z$ be the set of even integers.


Then $\struct {2 \Z, +, \times}$ is a commutative ring.


However, $\struct {2 \Z, +, \times}$ is not an integral domain.