Numeric.Ring.Endomorphism

Documentation

newtype End a

The endomorphism ring of an abelian group or the endomorphism semiring of an abelian monoid

http:en.wikipedia.orgwikiEndomorphism_ring

Constructors

End

Fields

appEnd :: a -> a

Instances

(Semiring r, Additive (End m), RightModule r m) => RightModule r (End m)

(Semiring r, Additive (End m), LeftModule r m) => LeftModule r (End m)

Monoid (End r)

(Additive (End r), Abelian r) => Abelian (End r)

Additive r => Additive (End r)

(LeftModule Natural (End r), RightModule Natural (End r), Monoidal r) => Monoidal (End r)

(Additive (End r), Abelian (End r), Multiplicative (End r), Abelian r, Monoidal r) => Semiring (End r)

Multiplicative (End r)

(LeftModule Integer (End r), RightModule Integer (End r), Monoidal (End r), Group r) => Group (End r)

Multiplicative (End r) => Unital (End r)

(Semiring (End r), Unital (End r), Monoidal (End r), Abelian r, Monoidal r) => Rig (End r)

(Rig (End r), Rng (End r), Abelian r, Group r) => Ring (End r)

(Multiplicative (End r), Abelian r, Commutative r) => Commutative (End r)

(Semiring (End m), Additive (End m), Monoidal m, Abelian m) => RightModule (End m) (End m)

(Semiring (End m), Additive (End m), Monoidal m, Abelian m) => LeftModule (End m) (End m)

toEnd :: Multiplicative r => r -> End r

fromEnd :: Unital r => End r -> r

frobenius :: Characteristic r => End r