If (D,+,.) is an integral domain such that 1∈D,then D is a field.This statement is true/false?Please give reasons for your answer ?
1 Answer
Feb 8, 2018
False
Explanation:
An integral domain is a non-zero commutative ring with no zero divisors.
A field also requires any non-zero element to have a multiplicative inverse.
The very name "integral domain" comes from the archetypal example, namely the integers.
The integers
