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Interface JSci.maths.groups.AbelianGroup

public interface AbelianGroup
extends Member
This interface defines an abelian group.

Method Index

o isNegative(AbelianGroupMember, AbelianGroupMember)
Returns true if one member is the negative of the other.
o isZero(AbelianGroupMember)
Returns true if the member is the identity element of this group.
o zero()
Returns the identity element.

Methods

o zero 
 public abstract AbelianGroupMember zero()
Returns the identity element.

o isZero 
 public abstract boolean isZero(AbelianGroupMember g)
Returns true if the member is the identity element of this group.

Parameters:
g - a group member
o isNegative 
 public abstract boolean isNegative(AbelianGroupMember a,
                                    AbelianGroupMember b)
Returns true if one member is the negative of the other.

Parameters:
a - a group member
b - a group member 
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