Simply typing this question into google, I get:
An integral domain is a commutative ring with an identity (1 0) with no zero-divisors. That is ab = 0 a = 0 or b = 0.
I don't understand what they mean by an 'identity (1 0)' with no 'zero-divisors'
What exactly is an integral domain then in layman's terms
I'm currently trying to show Z{i} (the Gaussian integers) is an integral domain, and I've just shown Z{i} is a subring of C. So any help specific to this would be greatly appreciated,
Thanks!