ABSTRACT
It is important to analyzing the existence of solutions to a polynomial equation to know if zero divisors are present in ring. Rings that do not have zero divisors are an important class. This chapter describes integral domains, which is a commutative ring with unity which does not contain any zero divisors. It reminds that every ring is, to start with, an Abelian group under addition, whereas the multiplicative structure may well not be that of a group. The focus is on the extremely important class of rings in which the non-zero elements also form an Abelian group under multiplication.
