Field

A field is a structure of abstract algebra, similar to a group or a ring. A field is a set of elements with two operations, usually called multiplication and addition and denoted and , which have the following properties:

There exists an element, usually denoted 0, such that 0 + a = a + 0 = a for all . (List of other defining properties goes here.)

Common examples of fields are the rational numbers, the real numbers or the integers taken modulo some prime. In each case, addition and multiplication are "as usual."