Question

explain that every field is an integral domain​

Answer 1

Answer:

Since a field is a commutative ring with unity, therefore, in order to show that every field is an integral domain we only need to prove that s field is without zero divisors. Similarly if b≠0 then it can be shown that ab=0⇒a=0. Thus ab=0⇒a=0orb=0. Hence, a field is necessarily an integral domain.

Step-by-step explanation:

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