Trait alga::general::AbstractRing [−] [src]

pub trait AbstractRing<A: Operator = Additive, M: Operator = Multiplicative>: AbstractGroupAbelian<A> + AbstractMonoid<M> {
    fn prop_mul_and_add_are_distributive_approx(
        args: (Self, Self, Self)
    ) -> bool
    where
        Self: ApproxEq,
    { ... }

    fn prop_mul_and_add_are_distributive(args: (Self, Self, Self)) -> bool
    where
        Self: Eq,
    { ... }
}

A ring is the combination of an abelian group and a multiplicative monoid structure.

A ring is equipped with:

  • A abstract operator (usually the addition) that fulfills the constraints of an abelian group.
  • A second abstract operator (usually the multiplication) that fulfills the constraints of a monoid.

Provided Methods

Returns true if the multiplication and addition operators are distributive for the given argument tuple. Approximate equality is used for verifications.

Returns true if the multiplication and addition operators are distributive for the given argument tuple.

Implementors