Trait alga::general::AbstractLoop
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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,
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N: Num + Clone + ClosedNeg,
impl<N> AbstractLoop<Additive> for Complex<N> where
N: AbstractGroupAbelian<Additive>,
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N: AbstractGroupAbelian<Additive>,