algebra-0.3.0: Constructive abstract algebra

Index

$#Numeric.Map.Linear
$*Numeric.Functional.Linear
$@Numeric.Map.Linear
*Numeric.Semigroup.Multiplicative, Numeric.Multiplication, Numeric.Semigroup, Numeric.Monoid, Numeric.Group
*.Numeric.Module.Class, Numeric.Module, Numeric.Functional.Linear
+Numeric.Semigroup.Additive, Numeric.Semigroup, Numeric.Monoid, Numeric.Group, Numeric.Addition
-Numeric.Group.Additive, Numeric.Group, Numeric.Addition, Numeric.Rng
.*Numeric.Module.Class, Numeric.Module, Numeric.Functional.Linear
/Numeric.Group.Multiplicative, Numeric.Multiplication, Numeric.Group
/~Numeric.Order.Class, Numeric.Order
<Numeric.Order.Class, Numeric.Order
<~Numeric.Order.Class, Numeric.Order
>Numeric.Order.Class, Numeric.Order
>~Numeric.Order.Class, Numeric.Order
AbelianNumeric.Addition.Abelian, Numeric.Semigroup, Numeric.Monoid, Numeric.Group, Numeric.Addition
AdditiveNumeric.Semigroup.Additive, Numeric.Semigroup, Numeric.Monoid, Numeric.Group, Numeric.Addition
AdditiveGroupNumeric.Group.Additive, Numeric.Group, Numeric.Addition, Numeric.Rng
AdditiveMonoidNumeric.Monoid.Additive, Numeric.Monoid, Numeric.Group, Numeric.Addition
AdditiveOrderNumeric.Order.Additive, Numeric.Semigroup, Numeric.Monoid, Numeric.Order, Numeric.Group
adjointNumeric.Multiplication.Involutive, Numeric.Multiplication, Numeric.Semigroup, Numeric.Monoid, Numeric.Group
adjointCommutativeNumeric.Multiplication.Involutive, Numeric.Multiplication, Numeric.Semigroup, Numeric.Monoid, Numeric.Group
Antilinear 
1 (Type/Class)Numeric.Functional.Antilinear
2 (Data Constructor)Numeric.Functional.Antilinear
antipodeNumeric.Algebra.Free.Hopf, Numeric.Algebra.Free
antipodeMapNumeric.Map.Linear
appAntilinearNumeric.Functional.Antilinear
appEndNumeric.Ring.Endomorphism, Numeric.Ring
arrMapNumeric.Map.Linear
augmentCovectorNumeric.Functional.Linear
augmentMapNumeric.Map.Linear
BandNumeric.Band.Class, Numeric.Band, Numeric.Semigroup, Numeric.Monoid, Numeric.Group
charNumeric.Rig.Characteristic, Numeric.Rig
CharacteristicNumeric.Rig.Characteristic, Numeric.Rig
charIntNumeric.Rig.Characteristic, Numeric.Rig
charWordNumeric.Rig.Characteristic, Numeric.Rig
cojoinNumeric.Algebra.Free.Class, Numeric.Algebra.Free
cojoinMapNumeric.Map.Linear
CommutativeNumeric.Multiplication.Commutative, Numeric.Multiplication, Numeric.Semigroup, Numeric.Monoid, Numeric.Group
comparableNumeric.Order.Class, Numeric.Order
convolveMapNumeric.Map.Linear
counitNumeric.Algebra.Free.Unital, Numeric.Algebra.Free
counitCovectorNumeric.Functional.Linear
counitMapNumeric.Map.Linear
CovectorNumeric.Functional.Linear
DecidableAssociatesNumeric.Decidable.Associates
DecidableUnitsNumeric.Decidable.Units
DecidableZeroNumeric.Decidable.Zero
embedCovectorNumeric.Functional.Linear
embedMapNumeric.Map.Linear
End 
1 (Type/Class)Numeric.Ring.Endomorphism, Numeric.Ring
2 (Data Constructor)Numeric.Ring.Endomorphism, Numeric.Ring
Exp 
1 (Type/Class)Numeric.Exp
2 (Data Constructor)Numeric.Exp
FactorableNumeric.Multiplication.Factorable, Numeric.Multiplication
factorWithNumeric.Multiplication.Factorable, Numeric.Multiplication
FreeAlgebraNumeric.Algebra.Free.Class, Numeric.Algebra.Free
FreeCoalgebraNumeric.Algebra.Free.Class, Numeric.Algebra.Free
FreeCounitalCoalgebraNumeric.Algebra.Free.Unital, Numeric.Algebra.Free
FreeUnitalAlgebraNumeric.Algebra.Free.Unital, Numeric.Algebra.Free
frobeniusNumeric.Rig.Characteristic, Numeric.Rig
fromEndNumeric.Ring.Endomorphism, Numeric.Ring
fromIntegerNumeric.Ring.Class, Numeric.Ring
fromIntegralNumeric.Ring.Class, Numeric.Ring
fromNaturalNumeric.Rig.Class, Numeric.Rig
fromNaturalNumNumeric.Rig.Class, Numeric.Rig
fromWholeNumeric.Rig.Class, Numeric.Rig
HopfNumeric.Algebra.Free.Hopf, Numeric.Algebra.Free
IdempotentNumeric.Addition.Idempotent, Numeric.Semigroup, Numeric.Monoid, Numeric.Group, Numeric.Addition
IntegralSemiringNumeric.Semiring.Integral, Numeric.Semiring, Numeric.Rng
InvolutiveNumeric.Semiring.Involutive, Numeric.Semiring, Numeric.Rng
InvolutiveMultiplicationNumeric.Multiplication.Involutive, Numeric.Multiplication, Numeric.Semigroup, Numeric.Monoid, Numeric.Group
isAssociateNumeric.Decidable.Associates
isAssociateIntegralNumeric.Decidable.Associates
isAssociateWholeNumeric.Decidable.Associates
isUnitNumeric.Decidable.Units
isZeroNumeric.Decidable.Zero
joinNumeric.Algebra.Free.Class, Numeric.Algebra.Free
joinMapNumeric.Map.Linear
LeftModuleNumeric.Module.Class, Numeric.Module
liftRngHomNumeric.Ring.Rng, Numeric.Ring
Linear 
1 (Type/Class)Numeric.Functional.Linear
2 (Data Constructor)Numeric.Functional.Linear
Log 
1 (Type/Class)Numeric.Log
2 (Data Constructor)Numeric.Log
Map 
1 (Type/Class)Numeric.Map.Linear
2 (Data Constructor)Numeric.Map.Linear
memoMapNumeric.Map.Linear
MultiplicativeNumeric.Semigroup.Multiplicative, Numeric.Multiplication, Numeric.Semigroup, Numeric.Monoid, Numeric.Group
MultiplicativeGroupNumeric.Group.Multiplicative, Numeric.Multiplication, Numeric.Group
Natural 
1 (Type/Class)Numeric.Natural.Internal, Numeric.Natural
2 (Data Constructor)Numeric.Natural.Internal
negateNumeric.Group.Additive, Numeric.Group, Numeric.Addition, Numeric.Rng
oneNumeric.Monoid.Multiplicative, Numeric.Multiplication, Numeric.Monoid, Numeric.Group
Opposite 
1 (Type/Class)Numeric.Ring.Opposite, Numeric.Ring
2 (Data Constructor)Numeric.Ring.Opposite, Numeric.Ring
OrderNumeric.Order.Class, Numeric.Order
orderNumeric.Order.Class, Numeric.Order
OrderedRigNumeric.Rig.Ordered, Numeric.Order, Numeric.Rig
orderOrdNumeric.Order.Class, Numeric.Order
PartitionableNumeric.Addition.Partitionable, Numeric.Addition
partitionWithNumeric.Addition.Partitionable, Numeric.Addition
powNumeric.Monoid.Multiplicative, Numeric.Multiplication, Numeric.Monoid, Numeric.Group
pow1pNumeric.Semigroup.Multiplicative, Numeric.Multiplication, Numeric.Semigroup, Numeric.Monoid, Numeric.Group
pow1pBandNumeric.Band.Class, Numeric.Band, Numeric.Semigroup, Numeric.Monoid, Numeric.Group
pow1pIntegralNumeric.Semigroup.Multiplicative, Numeric.Multiplication, Numeric.Semigroup, Numeric.Monoid, Numeric.Group
powBandNumeric.Band.Class, Numeric.Band, Numeric.Semigroup, Numeric.Monoid, Numeric.Group
productNumeric.Monoid.Multiplicative, Numeric.Multiplication, Numeric.Monoid, Numeric.Group
product1Numeric.Semigroup.Multiplicative, Numeric.Multiplication, Numeric.Semigroup, Numeric.Monoid, Numeric.Group
productWithNumeric.Monoid.Multiplicative, Numeric.Multiplication, Numeric.Monoid, Numeric.Group
productWith1Numeric.Semigroup.Multiplicative, Numeric.Multiplication, Numeric.Semigroup, Numeric.Monoid, Numeric.Group
recipNumeric.Group.Multiplicative, Numeric.Multiplication, Numeric.Group
recipUnitNumeric.Decidable.Units
recipUnitIntegralNumeric.Decidable.Units
recipUnitWholeNumeric.Decidable.Units
Rect 
1 (Type/Class)Numeric.Band.Rectangular, Numeric.Band, Numeric.Semigroup, Numeric.Monoid, Numeric.Group
2 (Data Constructor)Numeric.Band.Rectangular, Numeric.Band, Numeric.Semigroup, Numeric.Monoid, Numeric.Group
replicateNumeric.Monoid.Additive, Numeric.Monoid, Numeric.Group, Numeric.Addition
replicate1pNumeric.Semigroup.Additive, Numeric.Semigroup, Numeric.Monoid, Numeric.Group, Numeric.Addition
replicate1pIdempotentNumeric.Addition.Idempotent, Numeric.Semigroup, Numeric.Monoid, Numeric.Group, Numeric.Addition
replicateIdempotentNumeric.Addition.Idempotent, Numeric.Semigroup, Numeric.Monoid, Numeric.Group, Numeric.Addition
RigNumeric.Rig.Class, Numeric.Rig
RightModuleNumeric.Module.Class, Numeric.Module
RingNumeric.Ring.Class, Numeric.Ring
RngNumeric.Rng.Class, Numeric.Rng
RngRing 
1 (Type/Class)Numeric.Ring.Rng, Numeric.Ring
2 (Data Constructor)Numeric.Ring.Rng, Numeric.Ring
rngRingHomNumeric.Ring.Rng, Numeric.Ring
runExpNumeric.Exp
runLogNumeric.Log
runNaturalNumeric.Natural.Internal
runOppositeNumeric.Ring.Opposite, Numeric.Ring
runZeroRngNumeric.Rng.Zero, Numeric.Rng
SemiringNumeric.Semiring.Class, Numeric.Semiring, Numeric.Rng
subtractNumeric.Group.Additive, Numeric.Group, Numeric.Addition, Numeric.Rng
sumNumeric.Monoid.Additive, Numeric.Monoid, Numeric.Group, Numeric.Addition
sum1Numeric.Semigroup.Additive, Numeric.Semigroup, Numeric.Monoid, Numeric.Group, Numeric.Addition
sumWithNumeric.Monoid.Additive, Numeric.Monoid, Numeric.Group, Numeric.Addition
sumWith1Numeric.Semigroup.Additive, Numeric.Semigroup, Numeric.Monoid, Numeric.Group, Numeric.Addition
timesNumeric.Group.Additive, Numeric.Group, Numeric.Addition, Numeric.Rng
toEndNumeric.Ring.Endomorphism, Numeric.Ring
toNaturalNumeric.Natural.Internal, Numeric.Natural
unitNumeric.Algebra.Free.Unital, Numeric.Algebra.Free
UnitalNumeric.Monoid.Multiplicative, Numeric.Multiplication, Numeric.Monoid, Numeric.Group
unitMapNumeric.Map.Linear
unitVectorNumeric.Functional.Linear
unsafePredNumeric.Natural.Internal
VectorNumeric.Functional.Linear
WholeNumeric.Natural.Internal, Numeric.Natural
zeroNumeric.Monoid.Additive, Numeric.Monoid, Numeric.Group, Numeric.Addition
ZeroRng 
1 (Type/Class)Numeric.Rng.Zero, Numeric.Rng
2 (Data Constructor)Numeric.Rng.Zero, Numeric.Rng
\\Numeric.Group.Multiplicative, Numeric.Multiplication, Numeric.Group
^Numeric.Group.Multiplicative, Numeric.Multiplication, Numeric.Group
^?Numeric.Decidable.Units
~~Numeric.Order.Class, Numeric.Order