Integral Domain, Field
Integral domain
:Ring
is called an integral domain if no
exist that satisfy
even though
.Examples
:Integer numbersField
A set
where additive and multiplicative operations are defined, satisfying the conditions below
satisfies the conditions of a ring
- has an inverse element for multiplicative operation
Considering
,
An element
exists that satisfies 
.
Examples
:Rational numbers
:Real numbers
:Complex numbers
Finite field
A ring
isomorphic to the set of integer numbers.Considering that
is a residue class whose divisor is
(prime number),
is a residue class field (prime field).[0]Top