Trait alga::general::AbstractLoop

pub trait AbstractLoop<O: Operator>: AbstractQuasigroup<O> + Identity<O> { }

A quasigroup with an unique identity element.

The left inverse r and right inverse l are not required to be equal. The following property is added to the quasigroup structure:

∃ e ∈ Self, ∀ a ∈ Self, ∃ r, l ∈ Self such that l ∘ a = a ∘ r = e

Implementations on Foreign Types

impl<N> AbstractLoop<Multiplicative> for Complex<N> where     N: Num + Clone + ClosedNeg,

impl<N> AbstractLoop<Additive> for Complex<N> where     N: AbstractGroupAbelian<Additive>,

impl AbstractLoop<Additive> for i8

impl AbstractLoop<Additive> for i16

impl AbstractLoop<Additive> for i32

impl AbstractLoop<Additive> for i64

impl AbstractLoop<Additive> for isize

impl AbstractLoop<Additive> for f32

impl AbstractLoop<Additive> for f64

impl AbstractLoop<Multiplicative> for f32

impl AbstractLoop<Multiplicative> for f64

Implementors

impl<O: Operator> AbstractLoop<O> for Id<O>