Package dk.jonaslindstrom.ruffini.integers.structures

Class IntegersModuloN

java.lang.Object

dk.jonaslindstrom.ruffini.common.structures.QuotientRing<Integer>

dk.jonaslindstrom.ruffini.integers.structures.IntegersModuloN

All Implemented Interfaces:

AdditiveGroup<Integer>, CommutativeMonoid<Integer>, Monoid<Integer>, Ring<Integer>, Semigroup<Integer>, SemiRing<Integer>, Set<Integer>

Direct Known Subclasses:

PrimeField

public class IntegersModuloN
extends QuotientRing<Integer>

This class is an implementation of ℤ / nℤ, e.g. the integers ℤ modulo the principal ideal generated by a given integer n.

Author:

jonas

Field Summary

Fields inherited from class dk.jonaslindstrom.ruffini.common.structures.QuotientRing

mod, ring

Constructor Summary

Constructors

Constructor	Description
IntegersModuloN(Integer n)

Method Summary

Modifier and Type	Method	Description
int	getModulus()

Methods inherited from class dk.jonaslindstrom.ruffini.common.structures.QuotientRing

add, equals, identity, multiply, negate, toString, toString, zero

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.AdditiveGroup

doubling, isZero, scale, scale, subtract, sum

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.CommutativeMonoid

add, add

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Monoid

isIdentity, power

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Semigroup

multiply, multiply

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.SemiRing

integer, multiply, multiply

Constructor Details

IntegersModuloN

public IntegersModuloN(Integer n)

Method Details

getModulus

public int getModulus()