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Subindex: PreparataCode  ..  PrimaryDecomposition


PreparataCode

   PreparataCode(m): RngIntElt, RngUPolElt -> Code

Preprune

   Preprune(C) : ModCpx -> ModCpx
   Preprune(C,n) : ModCpx, RngIntElt -> ModCpx

Presentation

   CompactPresentation(G) : GrpPC -> [RngIntElt]
   GetPresentation(B) : GrpBrd -> MonStgElt
   IsIdenticalPresentation(G, H) : GrpGPC, GrpGPC -> BoolElt
   IsIdenticalPresentation(G, H) : GrpPC, GrpPC -> BoolElt
   NilpotentPresentation(G) : GrpGPC -> GrpGPC, Map
   PresentationIsSmall(G) : GrpGPC -> BoolElt
   PresentationLength(G) : GrpFP -> RngIntElt
   PresentationLength(P) : Process(Tietze) -> RngIntElt
   SetPresentation(~B, s) : GrpBrd, MonStgElt ->
   Simplify(~P : parameters) : Process(Tietze) ->
   SpecialPresentation(G) : GrpPC -> GrpPC
   StandardPresentation(G): GrpPC -> GrpPC, Map

presentation

   CompactPresentation (FINITE SOLUBLE GROUPS)
   Conditioned Presentations (FINITE SOLUBLE GROUPS)
   Constructing a Presentation for a Subgroup (FINITELY PRESENTED GROUPS)
   Construction of a Quotient: Specification of a Presentation (FINITELY PRESENTED ALGEBRAS)
   Generators and Relations (MATRIX GROUPS)
   Isomorphism testing and Standard Presentations (FINITE p-GROUPS)
   Presentation of Submodules (FREE MODULES)
   Properties of a Polycyclic Presentation (POLYCYCLIC GROUPS)
   Special Presentations (FINITE SOLUBLE GROUPS)
   Specification of a Presentation (FINITELY PRESENTED ABELIAN GROUPS)
   Specification of a Presentation (FINITELY PRESENTED SEMIGROUPS)
   Structuring Presentations (FINITELY PRESENTED ALGEBRAS)
   The Presentation of Submodules (INTRODUCTION TO MODULES [LINEAR ALGEBRA AND MODULE THEORY])

presentation-properties

   Properties of a Polycyclic Presentation (POLYCYCLIC GROUPS)

PresentationIsSmall

   PresentationIsSmall(G) : GrpGPC -> BoolElt

PresentationLength

   PresentationLength(G) : GrpFP -> RngIntElt
   PresentationLength(P) : Process(Tietze) -> RngIntElt

presentations

   Modifying Presentations (FINITELY PRESENTED GROUPS: ADVANCED)
   More About Presentations (FINITE SOLUBLE GROUPS)
   Power-Conjugate Presentations (FINITE SOLUBLE GROUPS)
   Presentations (PERMUTATION GROUPS)

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 H47E18)


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