com.numericalmethod.suanshu.mathstructure
Interface Ring<R>

Type Parameters:

R - a ring

All Superinterfaces:

AbelianGroup<R>, Monoid<R>

All Known Subinterfaces:

Field<F>, Matrix<T,F>, Matrix, MatrixRing, SparseMatrix

All Known Implementing Classes:

BidiagonalMatrix, BorderedHessian, Complex, ComplexMatrix, CovarianceMatrix, CsrSparseMatrix, DenseMatrix, DiagonalMatrix, DokSparseMatrix, DPolynomial, GenericMatrix, GivensMatrix, GoldfeldQuandtTrotter, Gradient, Hessian, HilbertMatrix, ImmutableKroneckerProduct, ImmutableMatrix, Inverse, Jacobian, JordanExchange, KroneckerProduct, LilSparseMatrix, LowerTriangularMatrix, MatrixMathImpl, MatrixStorageImpl, MatthewsDavies, PermutationMatrix, Polynomial, Pow, PseudoInverse, Real, RealMatrix, SubMatrixRef, SymmetricMatrix, TriangularMatrix, TridiagonalMatrix, UpperTriangularMatrix

public interface Ring<R>
extends AbelianGroup<R>, Monoid<R>

This interface represents a ring structure.

A ring is a set R equipped with two binary operations

+ : R × R → R

and

· : R × R → R

(where × denotes the Cartesian product), called addition and multiplication.

To qualify as a ring, the set and two operations, (R, +, ⋅), must satisfy the requirements known as the ring axioms.

See Also:

Wikipedia: Ring (mathematics)

Method Summary

Methods inherited from interface com.numericalmethod.suanshu.mathstructure.AbelianGroup

add, minus, opposite, ZERO

Methods inherited from interface com.numericalmethod.suanshu.mathstructure.Monoid

multiply, ONE