|
|||||||||
PREV CLASS NEXT CLASS | FRAMES NO FRAMES | ||||||||
SUMMARY: NESTED | FIELD | CONSTR | METHOD | DETAIL: FIELD | CONSTR | METHOD |
java.lang.Objectorg.rubato.math.module.morphism.ModuleMorphism
org.rubato.math.module.morphism.ProjectionMorphism
public class ProjectionMorphism
A projection from a ProductRing to one its factors.
Instances are created using the make(ProductRing,int)
method.
ProductRing
,
Serialized FormMethod Summary | |
---|---|
int |
compareTo(ModuleMorphism object)
Compares two module morphisms. |
boolean |
equals(java.lang.Object object)
Returns true iff this morphism is equal to object . |
ModuleMorphism |
fromXML(XMLReader reader,
org.w3c.dom.Element element)
Reads XML representation from reader starting with element . |
java.lang.String |
getElementTypeName()
Returns the value of the type attribute for this class. |
int |
getIndex()
Returns the index of the codomain factor. |
ModuleMorphism |
getRingMorphism()
Returns the the ring morphism that transforms between the rings of the domain and codomain modules. |
static XMLInputOutput<ModuleMorphism> |
getXMLInputOutput()
|
boolean |
isRingHomomorphism()
If true, then this is a ring homomorphism. |
static ProjectionMorphism |
make(ProductRing domain,
int i)
Creates a projection from domain to the factor i
of domain . |
ModuleElement |
map(ModuleElement x)
Maps the element x . |
java.lang.String |
toString()
Returns a string representation of this morphism. |
void |
toXML(XMLWriter writer)
Outputs XML representation to writer . |
Methods inherited from class org.rubato.math.module.morphism.ModuleMorphism |
---|
atZero, clone, composable, compose, difference, getCodomain, getConstantMorphism, getConstantMorphism, getDomain, getIdentityMorphism, inDomain, isConstant, isIdentity, isLinear, isModuleHomomorphism, isRingMorphism, power, scaled, sum |
Methods inherited from class java.lang.Object |
---|
getClass, hashCode, notify, notifyAll, wait, wait, wait |
Method Detail |
---|
public static ProjectionMorphism make(ProductRing domain, int i)
domain
to the factor i
of domain
.
domain
- a product ringi
- the index of codomain factorpublic int getIndex()
public ModuleElement map(ModuleElement x) throws MappingException
ModuleMorphism
x
.
This must be implemented for each specific morphism type.
map
in class ModuleMorphism
x
MappingException
- if mapping of element fails
public boolean isRingHomomorphism()
ModuleMorphism
isRingHomomorphism
in class ModuleMorphism
public ModuleMorphism getRingMorphism()
ModuleMorphism
getRingMorphism
in class ModuleMorphism
public boolean equals(java.lang.Object object)
ModuleMorphism
object
.
In general it is not possible to determine whether to functions
are the same, so this returns true iff both morphisms have
the same structure.
equals
in class ModuleMorphism
public int compareTo(ModuleMorphism object)
ModuleMorphism
compareTo
in interface java.lang.Comparable<ModuleMorphism>
compareTo
in class ModuleMorphism
public java.lang.String toString()
ModuleMorphism
toString
in class ModuleMorphism
public void toXML(XMLWriter writer)
XMLInputOutput
writer
.
public ModuleMorphism fromXML(XMLReader reader, org.w3c.dom.Element element)
XMLInputOutput
reader
starting with element
.
public static XMLInputOutput<ModuleMorphism> getXMLInputOutput()
public java.lang.String getElementTypeName()
XMLInputOutput
|
|||||||||
PREV CLASS NEXT CLASS | FRAMES NO FRAMES | ||||||||
SUMMARY: NESTED | FIELD | CONSTR | METHOD | DETAIL: FIELD | CONSTR | METHOD |