CGAL 4.12 - Algebraic Foundations
Field Concept Reference

## Definition

A model of Field is an IntegralDomain in which every non-zero element has a multiplicative inverse. Thus, one can divide by any non-zero element. Hence division is defined for any divisor != 0. For a Field, we require this division operation to be available through operators / and /=.

Moreover, CGAL::Algebraic_structure_traits< Field > is a model of AlgebraicStructureTraits providing:

Refines:
IntegralDomain
IntegralDomainWithoutDivision
IntegralDomain
UniqueFactorizationDomain
EuclideanRing
Field
FieldWithSqrt
FieldWithKthRoot
FieldWithRootOf
AlgebraicStructureTraits

## Operations

Field operator/ (const Field &a, const Field &b)

Field operator/= (const Field &b)