The prime subfield of a field is the intersection of all subfields of , or equivalently the smallest subfield of . It can also be constructed by taking the quotient field of the additive subgroup of generated by the multiplicative identity .
If has characteristic where is a prime, then the prime subfield of is isomorphic to the field of integers mod . When has characteristic zero, the prime subfield of is isomorphic to the field of rational numbers.
|Date of creation||2013-03-22 12:37:47|
|Last modified on||2013-03-22 12:37:47|
|Last modified by||djao (24)|