CoCoALib-0.9905 date: 23 May 2007


QuotientRing.H File Reference

#include "CoCoA/error.H"
#include "CoCoA/ideal.H"
#include "CoCoA/ring.H"
#include "CoCoA/RingHom.H"
#include <vector>
#include <iosfwd>

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Namespaces

namespace  CoCoA

Classes

class  CoCoA::QuotientRingBase
class  CoCoA::QuotientRing

Functions

QuotientRing CoCoA::NewQuotientRing (const ring &R, const ideal &I)
QuotientRing CoCoA::NewZmod (long n)
QuotientRing CoCoA::NewZmod (const ZZ &N)
bool CoCoA::IsQuotientRing (const ring &R)
QuotientRing CoCoA::AsQuotientRing (const ring &R)
const ring & CoCoA::BaseRing (const QuotientRing &RmodI)
const ideal & CoCoA::DefiningIdeal (const QuotientRing &RmodI)
const ring & CoCoA::ReprRing (const QuotientRing &RmodI)
const ideal & CoCoA::ReducingIdeal (const QuotientRing &RmodI)
const RingHom & CoCoA::QuotientingHom (const QuotientRing &RmodI)
RingHom CoCoA::InducedHom (const QuotientRing &RmodI, const RingHom &phi)
RingElem CoCoA::CanonicalRepr (ConstRefRingElem r)
 given x in R/I produces X in R s.t. QuotientingHom(RmodI)(X)=x


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