Uses of Interface
dk.jonaslindstrom.ruffini.common.abstractions.Monoid

Packages that use Monoid

Package	Description
dk.jonaslindstrom.ruffini.common.abstractions
dk.jonaslindstrom.ruffini.common.algorithms
dk.jonaslindstrom.ruffini.common.helpers
dk.jonaslindstrom.ruffini.common.matrices.structures
dk.jonaslindstrom.ruffini.common.structures
dk.jonaslindstrom.ruffini.common.util
dk.jonaslindstrom.ruffini.finitefields
dk.jonaslindstrom.ruffini.integers.structures
dk.jonaslindstrom.ruffini.integers.structures.limbs
dk.jonaslindstrom.ruffini.permutations.structures
dk.jonaslindstrom.ruffini.polynomials.structures
dk.jonaslindstrom.ruffini.quadraticform
dk.jonaslindstrom.ruffini.reals.structures

Uses of Monoid in dk.jonaslindstrom.ruffini.common.abstractions

Subinterfaces of Monoid in dk.jonaslindstrom.ruffini.common.abstractions

Modifier and Type	Interface	Description
interface	EuclideanDomain<E>	A Euclidean domain is a ring with Euclidean division.
interface	Field<E>	A field is a commutative ring where every non-zero element has a multiplicative inverse.
interface	Group<E>	A group is a set with an operation and an inverse operation.
interface	Ring<E>	A ring is a set with an associative and commutative addition operation and an associative multiplication operation.
interface	SemiRing<E>	A semiring is a set with an associative and commutative addition operation and an associative multiplication operation.

Uses of Monoid in dk.jonaslindstrom.ruffini.common.algorithms

Constructors in dk.jonaslindstrom.ruffini.common.algorithms with parameters of type Monoid

Modifier	Constructor	Description
	Power(Monoid<E> monoid)
	Product(Monoid<E> group)

Uses of Monoid in dk.jonaslindstrom.ruffini.common.helpers

Classes in dk.jonaslindstrom.ruffini.common.helpers that implement Monoid

Modifier and Type	Class	Description
class	NullSafeRing<E>	This class wraps a ring but operations will treat null operands as if they were zero.
class	PerformanceLoggingField<E>	Wrapper for the ring class which logs the number of operations performed in this ring.
class	PerformanceLoggingRing<E>	Wrapper for the ring class which logs the number of operations performed in this ring.

Uses of Monoid in dk.jonaslindstrom.ruffini.common.matrices.structures

Classes in dk.jonaslindstrom.ruffini.common.matrices.structures that implement Monoid

Modifier and Type	Class	Description
class	GeneralLinearGroup<E,F extends Field<E>>	This class represents the general linear group GL(n, F) of invertible n × n matrices over a field F.
class	MatrixRing<E>	This class represents a ring of n × n matrices over a base ring.

Uses of Monoid in dk.jonaslindstrom.ruffini.common.structures

Classes in dk.jonaslindstrom.ruffini.common.structures that implement Monoid

Modifier and Type	Class	Description
class	FieldOfFractions<E>
class	QuotientRing<E>

Uses of Monoid in dk.jonaslindstrom.ruffini.common.util

Classes in dk.jonaslindstrom.ruffini.common.util that implement Monoid

Modifier and Type	Class	Description
static class	TestUtils.TestBigIntegers
static class	TestUtils.TestField
static class	TestUtils.TestIntegers

Uses of Monoid in dk.jonaslindstrom.ruffini.finitefields

Classes in dk.jonaslindstrom.ruffini.finitefields that implement Monoid

Modifier and Type	Class	Description
class	AlgebraicFieldExtension<E,F extends Field<E>>
class	BigFiniteField
class	BigPrimeField
class	FiniteField
class	GaussianRationals
class	PrimeField
class	QuadraticField

Uses of Monoid in dk.jonaslindstrom.ruffini.integers.structures

Classes in dk.jonaslindstrom.ruffini.integers.structures that implement Monoid

Modifier and Type	Class	Description
class	BigIntegers
class	BigIntegersModuloN	This class is an implementation of ℤ / nℤ, e.g.
class	BigRationals
class	Integers
class	IntegersModuloN	This class is an implementation of ℤ / nℤ, e.g.
class	Rationals

Uses of Monoid in dk.jonaslindstrom.ruffini.integers.structures.limbs

Classes in dk.jonaslindstrom.ruffini.integers.structures.limbs that implement Monoid

Modifier and Type	Class	Description
class	BigElements<E>

Uses of Monoid in dk.jonaslindstrom.ruffini.permutations.structures

Classes in dk.jonaslindstrom.ruffini.permutations.structures that implement Monoid

Modifier and Type	Class	Description
class	SymmetricGroup

Uses of Monoid in dk.jonaslindstrom.ruffini.polynomials.structures

Classes in dk.jonaslindstrom.ruffini.polynomials.structures that implement Monoid

Modifier and Type	Class	Description
class	MultivariatePolynomialRing<E>	This class implements the ring of polynomials K[x] over a field K.
class	MultivariatePolynomialRingOverRing<E>	This class implements the ring of polynomials K[x] over a field K.
class	PolynomialRing<E>	This class implements the ring of polynomials K[x] over a field K.
class	PolynomialRingFFT<E>	This class implements the ring of polynomials K[x] over a field K.
class	PolynomialRingKaratsuba<E>	This class implements the ring of polynomials K[x] over a field K.
class	PolynomialRingOverRing<E>

Uses of Monoid in dk.jonaslindstrom.ruffini.quadraticform

Classes in dk.jonaslindstrom.ruffini.quadraticform that implement Monoid

Modifier and Type	Class	Description
class	ClassGroup	This implements the ideal class group for a negative discriminant.

Uses of Monoid in dk.jonaslindstrom.ruffini.reals.structures

Classes in dk.jonaslindstrom.ruffini.reals.structures that implement Monoid

Modifier and Type	Class	Description
class	ComplexNumbers
class	ConstructiveReals	The real numbers represented as constructive reals, e.g.
class	RealNumbers	Real numbers represented by Doubles.