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CGAL 4.12.2 - Algebraic Foundations
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Field Concept Reference
Algebraic Foundations Reference » Concepts

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
See also
IntegralDomainWithoutDivision
IntegralDomain
UniqueFactorizationDomain
EuclideanRing
Field
FieldWithSqrt
FieldWithKthRoot
FieldWithRootOf
AlgebraicStructureTraits

Operations

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