jsci.maths.groups

Interface Monoid

All Known Subinterfaces:

Group

All Known Implementing Classes:

CyclicGroup, DihedralGroup, FiniteGroup, QuaternionGroup

public interface Monoid

This interface defines a monoid.

Nested Class Summary

Nested Classes

Modifier and Type	Interface and Description
static interface	Monoid.Member This interface defines a member of a monoid.

Method Summary

Modifier and Type	Method and Description
Monoid.Member	identity() Returns the identity element.
boolean	isIdentity(Monoid.Member g) Returns true if the member is the identity element of this monoid.

Method Detail

identity

Monoid.Member identity()

Returns the identity element.

isIdentity

boolean isIdentity(Monoid.Member g)

Returns true if the member is the identity element of this monoid.

Parameters:

g - a monoid member