ModuleElement.cs

using System;
using Waher.Script.Abstraction.Sets;
 
namespace Waher.Script.Abstraction.Elements
{
    public abstract class ModuleElement : AbelianGroupElement, IModuleElement
    {
        public ModuleElement()
        {
        }
 
        public virtual ILeftModuleElement MultiplyScalarLeft(IRingElement Scalar)
        {
            return this.MultiplyScalar(Scalar) as ILeftModuleElement;
        }
 
        public virtual IRightModuleElement MultiplyScalarRight(IRingElement Scalar)
        {
            return this.MultiplyScalar(Scalar) as IRightModuleElement;
        }
 
        public abstract IModuleElement MultiplyScalar(IRingElement Scalar);
 
        public override ISet AssociatedSet => this.AssociatedModule;
 
        public override ISemiGroup AssociatedSemiGroup => this.AssociatedModule;
 
        public override IGroup AssociatedGroup => this.AssociatedModule;
 
        public override IAbelianGroup AssociatedAbelianGroup => this.AssociatedModule;
 
        public virtual ILeftModule AssociatedLeftModule => this.AssociatedModule;
 
        public virtual IRightModule AssociatedRightModule => this.AssociatedModule;
 
        public abstract Sets.IModule AssociatedModule
        {
            get;
        }
    }
}