Question

Every field is an integral domain but the converse is not true

Answer 1

Answer:

field is a commutative ring with identity (1 ≠ 0) in which every non-zero element has a multiplicative inverse. The rings Q, R, C are fields. If a, b are elements of a field with ab = 0 then if a ≠ 0 it has an inverse a-1 and so multiplying both sides by this gives b = 0. ... Every field is an integral domain

Answer 2

Answer:

Every field is an integral domain but the converse is not true because every field was not nicely integral domain