RingElement.cs

using System;
using Waher.Script.Abstraction.Sets;
 
namespace Waher.Script.Abstraction.Elements
{
    public abstract class RingElement : AbelianGroupElement, IRingElement
    {
        public RingElement()
        {
        }
 
        public abstract IRingElement MultiplyLeft(IRingElement Element);
 
        public abstract IRingElement MultiplyRight(IRingElement Element);
 
        public abstract IRingElement Invert();
 
        public override ISet AssociatedSet => this.AssociatedRing;
 
        public override ISemiGroup AssociatedSemiGroup => this.AssociatedRing;
 
        public override IGroup AssociatedGroup => this.AssociatedRing;
 
        public override IAbelianGroup AssociatedAbelianGroup => this.AssociatedRing;
 
        public abstract IRing AssociatedRing
        {
            get;
        }
    }
}