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Subindex: presented  ..  Prime


presented

   FINITELY PRESENTED ALGEBRAS
   Finitely Presented Algebras (FINITELY PRESENTED ALGEBRAS)
   FINITELY PRESENTED GROUPS
   FINITELY PRESENTED GROUPS: ADVANCED
   Finitely Presented Modules (FINITELY PRESENTED ALGEBRAS)
   FINITELY PRESENTED SEMIGROUPS
   Rings, Fields, and Algebras (OVERVIEW)

Previous

   ClearPrevious() : ->
   GetPreviousSize() : -> RngIntElt
   PreviousPrime(n) : RngIntElt -> RngIntElt
   SetPreviousSize(n) : RngIntElt ->
   ShowPrevious() : ->
   ShowPrevious(i) : RngIntElt ->

previous

   PrimeDivisors(n) : RngIntElt -> [RngIntElt]
   Other Functions Relating to Primes (RING OF INTEGERS)

PreviousPrime

   PreviousPrime(n) : RngIntElt -> RngIntElt

primality

   Primality (RING OF INTEGERS)

Primary

   IsPrimary(I) : RngMPol -> BoolElt
   IsPrimary(I) : RngMPolRes -> BoolElt
   Primary(a) : RngQuadElt -> RngQuadElt
   PrimaryAlgebra(R) : RngInvar -> RngMPol
   PrimaryComponents(X) : Sch -> SeqEnum
   PrimaryDecomposition(I) : RngMPol -> [ RngMPol ], [ RngMPol ]
   PrimaryDecomposition(I) : RngMPolRes -> [ RngMPolRes ], [ RngMPolRes ]
   PrimaryIdeal(R) : RngInvar -> RngMPol
   PrimaryInvariantFactors(a) : AlgMatElt -> [ <RngUPolElt, RngIntElt ]
   PrimaryInvariantFactors(A) : Mtrx -> [ <RngUPolElt, RngIntElt> ]
   R`PrimaryInvariants
   PrimaryInvariants(A) : GrpAb -> [ RngIntElt ]
   PrimaryInvariants(R) : RngInvar -> [ RngMPolElt ]
   PrimaryRationalForm(a) : AlgMatElt -> AlgMatElt, AlgMatElt, [ <RngUPolElt, RngIntElt ]
   PrimaryRationalForm(A) : Mtrx -> AlgMatElt, AlgMatElt, [ <RngUPolElt, RngIntElt ]

primary

   Primary Decomposition (IDEAL THEORY AND GRÖBNER BASES)
   Primary Invariants (INVARIANT RINGS OF FINITE GROUPS)

primary-decomposition

   Primary Decomposition (IDEAL THEORY AND GRÖBNER BASES)

PrimaryAlgebra

   PrimaryAlgebra(R) : RngInvar -> RngMPol

PrimaryComponents

   PrimaryComponents(X) : Sch -> SeqEnum

PrimaryDecomposition

   PrimaryDecomposition(I) : RngMPol -> [ RngMPol ], [ RngMPol ]
   PrimaryDecomposition(I) : RngMPolRes -> [ RngMPolRes ], [ RngMPolRes ]
   GB_PrimaryDecomposition (Example H94E19)

PrimaryIdeal

   PrimaryIdeal(R) : RngInvar -> RngMPol

PrimaryInvariantFactors

   PrimaryInvariantFactors(a) : AlgMatElt -> [ <RngUPolElt, RngIntElt ]
   PrimaryInvariantFactors(A) : Mtrx -> [ <RngUPolElt, RngIntElt> ]

PrimaryInvariants

   R`PrimaryInvariants
   PrimaryInvariants(A) : GrpAb -> [ RngIntElt ]
   PrimaryInvariants(R) : RngInvar -> [ RngMPolElt ]

PrimaryRationalForm

   PrimaryRationalForm(a) : AlgMatElt -> AlgMatElt, AlgMatElt, [ <RngUPolElt, RngIntElt ]
   PrimaryRationalForm(A) : Mtrx -> AlgMatElt, AlgMatElt, [ <RngUPolElt, RngIntElt ]

Prime

   DegreeOnePrimeIdeals(O, B) : RngOrd, RngIntElt -> [ RngOrdIdl ]
   IsPrime(x) : RngElt -> BoolElt
   IsPrime(I) : RngFunOrdIdl -> BoolElt
   IsPrime(n) : RngIntElt -> BoolElt
   IsPrime(n) : RngIntElt -> BoolElt
   IsPrime(I) : RngMPol -> BoolElt
   IsPrime(I) : RngMPolRes -> BoolElt
   IsPrime(I) : RngOrdIdl -> BoolElt, RngOrdIdl
   IsPrimeField(F) : Fld -> BoolElt
   IsPrimePower(n) : RngIntElt -> BoolElt, RngIntElt, RngIntElt
   IsProbablePrime(n: parameter) : RngIntElt -> BoolElt
   KeepPrimePower(SQP, p) : SQProc, RngIntElt -> SeqEnum
   NextPrime(n) : RngIntElt -> RngIntElt
   NthPrime(n) : RngIntElt -> RngIntElt
   NumberOfPrimePolynomials(q, d) : RngIntElt, RngIntElt -> RngIntElt
   PreviousPrime(n) : RngIntElt -> RngIntElt
   Prime(M) : ModSS -> RngIntElt
   Prime(L) : RngPad -> RngIntElt
   Prime(G) : SymGenLoc -> RngIntElt
   PrimeBasis(n) : RngIntElt -> [RngIntElt]
   PrimeBasis(n) : RngIntElt -> [RngIntElt]
   PrimeComponents(X) : Sch -> SeqEnum
   PrimeField(F) : Fld -> Fld
   PrimeField(F) : FldFin -> FldFin
   PrimeForm(Q, p) : QuadBin, RngIntElt -> QuadBinElt
   PrimeIdeal(S, p) : AlgQuatOrd, RngIntElt -> AlgQuatOrdIdl
   PrimePolynomials(R, d) : RngUPol, RngIntElt -> SeqEnum[ RngUPolElt ]
   PrimePowerRepresentation(x, k, a) : FldFunGElt, RngIntElt, FldFunGElt -> SeqEnum
   PrimeRing(F) : FldFun -> Rng
   PrimeRing(R) : Rng -> Rng
   PrimeRing(L) : RngPad -> RngPad
   RandomPrime(n: parameter) : RngIntElt -> RngIntElt
   RandomPrime(n: parameter) : RngIntElt -> RngIntElt
   RandomPrime(n, a, b, x: parameter) :RngIntElt, RngIntElt, RngIntElt -> BoolElt, RngIntElt
   RandomPrime(n, a, b, x: parameter) :RngIntElt, RngIntElt, RngIntElt -> BoolElt, RngIntElt
   RandomPrimePolynomial(R, d) : RngUPol, RngIntElt -> RngUPolElt


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