[Math] example of a commutative ring without zero divisor that is not an integral domain

Question

I'm not sure if I understand this question.

An integral domain is a commutative ring (with unity) without zero-divisors.
The question ask for an integral domain that is not an integral domain?

Can someone shed some understanding?

Thanks in advance

Answer 1

Essentially, you want a commutative ring without zero-divisors and without unity. So take $2\Bbb Z$ for instance