Question

Show that every field is an integeral domain D if and only if D is a finite.

Answer 1

Answer:

Integral domains and Fields

These are two special kinds of ring

Definition

If a, b are two ring elements with a, b ≠ 0 but ab = 0 then a and b are called zero-divisors.

Example

In the ring Z6 we have 2.3 = 0