Safe Haskell	None

Numeric.Algebra.Commutative

Synopsis

Documentation

A commutative multiplicative semigroup

Instances

Commutative Bool
Commutative Int
Commutative Int8
Commutative Int16
Commutative Int32
Commutative Int64
Commutative Integer
Commutative Word
Commutative Word8
Commutative Word16
Commutative Word32
Commutative Word64
Commutative ()
Commutative Natural
Commutative Euclidean
(TriviallyInvolutive r, Rng r) => Commutative (Complex r)
(TriviallyInvolutive r, Rng r) => Commutative (Dual r)
(Commutative k, Semiring k) => Commutative (Hyper' k)
(Commutative k, Semiring k) => Commutative (Hyper k)
(TriviallyInvolutive r, Rng r) => Commutative (Dual' r)
Commutative (BasisCoblade m)
(Commutative k, Rng k) => Commutative (Trig k)
Abelian r => Commutative (Exp r)
(Abelian r, Commutative r) => Commutative (End r)
Commutative r => Commutative (Opposite r)
(Commutative r, Rng r) => Commutative (RngRing r)
Monoidal r => Commutative (ZeroRng r)
CommutativeAlgebra r a => Commutative (a -> r)
(Commutative a, Commutative b) => Commutative (a, b)
(HasTrie a, CommutativeAlgebra r a) => Commutative (:->: a r)
(Commutative m, Coalgebra r m) => Commutative (Covector r m)
(Commutative a, Commutative b, Commutative c) => Commutative (a, b, c)
(Commutative m, Coalgebra r m) => Commutative (Map r b m)
(Commutative a, Commutative b, Commutative c, Commutative d) => Commutative (a, b, c, d)
(Commutative a, Commutative b, Commutative c, Commutative d, Commutative e) => Commutative (a, b, c, d, e)

Instances

(Commutative r, Semiring r) => CommutativeAlgebra r IntSet
(Commutative r, Semiring r) => CommutativeAlgebra r ()
(Commutative r, Monoidal r, Semiring r, Abelian b, Partitionable b) => CommutativeAlgebra r (IntMap b)
(Commutative r, Semiring r, Ord a) => CommutativeAlgebra r (Set a)
(Commutative r, Monoidal r, Semiring r, Ord a, Abelian b, Partitionable b) => CommutativeAlgebra r (Map a b)
(CommutativeAlgebra r a, CommutativeAlgebra r b) => CommutativeAlgebra r (a, b)
(CommutativeAlgebra r a, CommutativeAlgebra r b, CommutativeAlgebra r c) => CommutativeAlgebra r (a, b, c)
(CommutativeAlgebra r a, CommutativeAlgebra r b, CommutativeAlgebra r c, CommutativeAlgebra r d) => CommutativeAlgebra r (a, b, c, d)
(CommutativeAlgebra r a, CommutativeAlgebra r b, CommutativeAlgebra r c, CommutativeAlgebra r d, CommutativeAlgebra r e) => CommutativeAlgebra r (a, b, c, d, e)

Instances

(Commutative r, Semiring r) => CocommutativeCoalgebra r IntSet
(Commutative r, Semiring r) => CocommutativeCoalgebra r ()
(Commutative r, Semiring r, Abelian b) => CocommutativeCoalgebra r (IntMap b)
(Commutative r, Semiring r, Ord a) => CocommutativeCoalgebra r (Set a)
(Commutative r, Semiring r, Ord a, Abelian b) => CocommutativeCoalgebra r (Map a b)
(CocommutativeCoalgebra r a, CocommutativeCoalgebra r b) => CocommutativeCoalgebra r (a, b)
(HasTrie m, CommutativeAlgebra r m) => CocommutativeCoalgebra r (:->: m r)
CommutativeAlgebra r m => CocommutativeCoalgebra r (m -> r)
(CocommutativeCoalgebra r a, CocommutativeCoalgebra r b, CocommutativeCoalgebra r c) => CocommutativeCoalgebra r (a, b, c)
(CocommutativeCoalgebra r a, CocommutativeCoalgebra r b, CocommutativeCoalgebra r c, CocommutativeCoalgebra r d) => CocommutativeCoalgebra r (a, b, c, d)
(CocommutativeCoalgebra r a, CocommutativeCoalgebra r b, CocommutativeCoalgebra r c, CocommutativeCoalgebra r d, CocommutativeCoalgebra r e) => CocommutativeCoalgebra r (a, b, c, d, e)

Instances