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Hom Class Template Reference
[linbox/field]

#include <hom.h>

List of all members.


Detailed Description

template<class Source, class Target>
class LinBox::Hom< Source, Target >

map element of source ring(field) to target ring

An instance of Hom is a homomorphism from a ring of type Source to a ring (usually field) of type Target. The intended use is that it will be a natural mapping. For instance:

Hom<Unparametric<Integers>, Modular<integer> >(Z, Zp) nat; // is the mod p mapping.

Hom<<NTL_ZZp, Modular<integer> >(Zp, Mp) nat;

// is an isomorphism, provided the Zp and Mp have same characteristic. Hom<Unparametric<NTL_ZZp, Unparameteric<NTL_ZZpEx> >(Z3, Z27) nat; // is the embedding of the prime field in the extension.


Public Member Functions

 Hom (const Source &S, const Target &T)
Elt & image (Elt &t, const SrcElt &s)
SrcElt & preimage (SrcElt &s, const Elt &t)


Constructor & Destructor Documentation

Hom const Source &  S,
const Target &  T
[inline]
 

Construct a homomorphism from a specific source ring S and target field T with Hom(S, T). Specializations define all actual homomorphisms.


Member Function Documentation

Elt& image Elt &  t,
const SrcElt &  s
[inline]
 

image(t, s) implements the homomorphism, assigning the t the value of the image of s under the mapping.

The default behaviour goes through integers.

SrcElt& preimage SrcElt &  s,
const Elt &  t
[inline]
 

If possible, preimage(s,t) assigns a value to s such that the image of s is t. Otherwise behaviour is unspecified. An error may be thrown, a conventional value may be set, or an arb value set.

The default behaviour goes through integers.


The documentation for this class was generated from the following file:
Generated on Thu Feb 8 22:33:05 2007 for linbox by doxygen 1.3.4