org.tensorics.core.math.structures.grouplike

Interface Monoid<T>

Type Parameters:

T - the type of the elements of the set on which the monoid is based

All Superinterfaces:

GrouplikeStructure<T>, Magma<T>, Semigroup<T>, Structure<T>

All Known Subinterfaces:

AbelianGroup<T>, CommutativeMonoid<T>, Group<T>

All Known Implementing Classes:

AbstractAbelianGroup

public interface Monoid<T>
extends Semigroup<T>

Represents the algebraic structure of a Monoid, which extends a semigroup by having an identity element.

See Also:

http://en.wikipedia.org/wiki/Monoid

Method Summary

Modifier and Type	Method and Description
T	identity() Has to return the element of the set, which represents the identity of the operation of the monoid.

Methods inherited from interface org.tensorics.core.math.structures.grouplike.Semigroup

operation

Method Detail

identity

T identity()

Has to return the element of the set, which represents the identity of the operation of the monoid.

Returns:

the identity element of the monoid.