VectorSpace.cs

using System;
using Waher.Script.Abstraction.Elements;
 
namespace Waher.Script.Abstraction.Sets
{
    public abstract class VectorSpace : Module, IVectorSpace
    {
        public VectorSpace()
            : base()
        {
        }
 
        public override IRing ScalarRing => this.ScalarField;
 
        public abstract IField ScalarField
        {
            get;
        }
 
        public override IModuleElement MultiplyScalar(IRingElement Scalar, IModuleElement ModuleElement)
        {
            return ModuleElement.MultiplyScalar(Scalar);
        }
 
        public virtual IVectorSpaceElement MultiplyScalar(IFieldElement Scalar, IVectorSpaceElement VectorSpaceElement)
        {
            return VectorSpaceElement.MultiplyScalar(Scalar);
        }
 
    }
}