Question

an integral domain is

​

Answer 1

Answer:

An integral domain is a field if every nonzero element x has a reciprocal x -1 such that xx -1 = x -1x = 1. Notice that the reciprocal is just the inverse under multiplication; therefore, the nonzero elements of a field are a commutative group under multiplication.

In mathematics, specifically abstract algebra, an integral domain is a nonzero commutative ring in which the product of any two nonzero elements is nonzero. Integral domains are generalizations of the ring of integers and provide a natural setting for studying divisibility.