Algebraic field

https://arbital.com/p/algebraic_field

by Patrick Stevens Jun 13 2016 updated Jun 14 2016

A field is a structure with addition, multiplication and division.


A field is a commutative ring (henceforth abbreviated simply as , with multiplicative identity and additive identity ) which additionally has the property that every nonzero element has a multiplicative inverse: for every there is such that . Conventionally we insist that a field must have more than one element: equivalently, .

Examples