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java.lang.Objectorg.rubato.math.module.morphism.ModuleMorphism
org.rubato.math.module.morphism.CanonicalMorphism
public abstract class CanonicalMorphism
Canonical morphisms are the "simplest" morphisms that map
an element from the domain to the codomain, e.g, identities,
embeddings or casts.
The make(org.rubato.math.module.Module, org.rubato.math.module.Module)
method is used to create a canonical morphism.
Method Summary | |
---|---|
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. |
static XMLInputOutput<ModuleMorphism> |
getXMLInputOutput()
|
boolean |
isModuleHomomorphism()
If true, then this is a module homomorphism. |
boolean |
isRingHomomorphism()
If true, then this is a ring homomorphism. |
static ModuleMorphism |
make(Module domain,
Module codomain)
Creates a canonical morphism from domain
to codomain. |
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, compareTo, composable, compose, difference, getCodomain, getConstantMorphism, getConstantMorphism, getDomain, getIdentityMorphism, getRingMorphism, inDomain, isConstant, isIdentity, isLinear, isRingMorphism, map, power, scaled, sum |
Methods inherited from class java.lang.Object |
---|
getClass, hashCode, notify, notifyAll, wait, wait, wait |
Method Detail |
---|
public static ModuleMorphism make(Module domain, Module codomain)
domain
to codomain.
public boolean isModuleHomomorphism()
ModuleMorphism
isModuleHomomorphism
in class ModuleMorphism
public boolean isRingHomomorphism()
ModuleMorphism
isRingHomomorphism
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 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
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