public class LocalRing<C extends RingElem<C>> extends java.lang.Object implements RingFactory<Local<C>>, QuotPairFactory<C,Local<C>>
Modifier and Type | Field and Description |
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protected C |
ideal
Ideal generator for localization.
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protected int |
isField
Indicator if this ring is a field.
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protected RingFactory<C> |
ring
Ring factory.
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Constructor and Description |
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LocalRing(RingFactory<C> r,
C i)
The constructor creates a LocalRing object from a RingFactory and a
RingElem.
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Modifier and Type | Method and Description |
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java.math.BigInteger |
characteristic()
Characteristic of this ring.
|
Local<C> |
copy(Local<C> c)
Copy Local element c.
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Local<C> |
create(C n)
Create from numerator.
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Local<C> |
create(C n,
C d)
Create from numerator, denominator pair.
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boolean |
equals(java.lang.Object b)
Comparison with any other object.
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Local<C> |
fromInteger(java.math.BigInteger a)
Get a Local element from a BigInteger value.
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Local<C> |
fromInteger(long a)
Get a Local element from a long value.
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java.util.List<Local<C>> |
generators()
Get a list of the generating elements.
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Local<C> |
getONE()
Get the one element.
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Local<C> |
getZERO()
Get the zero element.
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int |
hashCode()
Hash code for this local ring.
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boolean |
isAssociative()
Query if this ring is associative.
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boolean |
isCommutative()
Query if this ring is commutative.
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boolean |
isField()
Query if this ring is a field.
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boolean |
isFinite()
Is this structure finite or infinite.
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RingFactory<C> |
pairFactory()
Factory for base elements.
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Local<C> |
parse(java.io.Reader r)
Parse Local from Reader.
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Local<C> |
parse(java.lang.String s)
Parse Local from String.
|
Local<C> |
random(int n)
Local random.
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Local<C> |
random(int n,
java.util.Random rnd)
Local random.
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java.lang.String |
toScript()
Get a scripting compatible string representation.
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java.lang.String |
toString()
Get the String representation as RingFactory.
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protected final RingFactory<C extends RingElem<C>> ring
protected int isField
public LocalRing(RingFactory<C> r, C i)
i
- localization ideal generator.public RingFactory<C> pairFactory()
pairFactory
in interface QuotPairFactory<C extends RingElem<C>,Local<C extends RingElem<C>>>
public boolean isFinite()
isFinite
in interface ElemFactory<Local<C extends RingElem<C>>>
ElemFactory.isFinite()
public java.util.List<Local<C>> generators()
generators
in interface ElemFactory<Local<C extends RingElem<C>>>
ElemFactory.generators()
public boolean isCommutative()
isCommutative
in interface MonoidFactory<Local<C extends RingElem<C>>>
public boolean isAssociative()
isAssociative
in interface MonoidFactory<Local<C extends RingElem<C>>>
public boolean isField()
public java.math.BigInteger characteristic()
characteristic
in interface RingFactory<Local<C extends RingElem<C>>>
public Local<C> fromInteger(java.math.BigInteger a)
fromInteger
in interface ElemFactory<Local<C extends RingElem<C>>>
a
- BigInteger.public Local<C> fromInteger(long a)
fromInteger
in interface ElemFactory<Local<C extends RingElem<C>>>
a
- long.public java.lang.String toString()
toString
in class java.lang.Object
Object.toString()
public java.lang.String toScript()
toScript
in interface ElemFactory<Local<C extends RingElem<C>>>
ElemFactory.toScript()
public boolean equals(java.lang.Object b)
equals
in class java.lang.Object
Object.equals(java.lang.Object)
public int hashCode()
hashCode
in class java.lang.Object
Object.hashCode()