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Subindex: Idealizer  ..  Identify


Idealizer

   Idealizer(S) : AlgGrpSub -> AlgGrpSub
   Idealiser(S) : AlgGrpSub -> AlgGrpSub
   Idealizer(A, B: parameters) : AlgAss, AlgAss -> AlgAss

IdealQuotient

   IdealQuotient(I, J) : RngMPol, RngMPol -> RngMPol
   ColonIdeal(I, J) : RngMPol, RngMPol -> RngMPol
   ColonIdeal(I, f) : RngMPol, RngMPolElt -> RngMPol, RngIntElt
   ColonIdeal(I, J) : RngOrdIdl, RngOrdIdl -> RngOrdIdl

Ideals

   CoefficientIdeals(P): PMat -> SeqEnum
   DegreeOnePrimeIdeals(O, B) : RngOrd, RngIntElt -> [ RngOrdIdl ]
   Ideals(D) : DivFunElt -> RngFunOrdIdl, RngFunOrdIdl
   Ideals(D) : DivFunElt -> RngFunOrdIdl, RngFunOrdIdl
   MaximalIdeals(L : parameters) : AlgGen -> [ AlgGen ], BoolElt
   MaximalLeftIdeals(A : parameters) : AlgGen -> [ AlgGen ], BoolElt
   MinimalIdeals(L : parameters) : AlgGen -> [ AlgGen ], BoolElt
   MinimalLeftIdeals(A : parameters) : AlgGen -> [ AlgGen ], BoolElt
   RngOrd_Ideals (Example H48E30)

ideals

   Creation of Ideals (ALGEBRAIC FUNCTION FIELDS)
   Creation of Ideals and Accessing their Bases (IDEAL THEORY AND GRÖBNER BASES)
   Functions on Prime Ideals (ALGEBRAIC FUNCTION FIELDS)
   Ideals (ALGEBRAIC FUNCTION FIELDS)
   Ideals (RING OF INTEGERS)
   Ideals and Gröbner Bases (FINITELY PRESENTED ALGEBRAS)
   Ideals of Associative Orders (ORDERS OF ASSOCIATIVE ALGEBRAS)
   Roots of Ideals (ALGEBRAIC FUNCTION FIELDS)
   Special Functions for Ideals (QUADRATIC FIELDS)
   FldFunG_ideals (Example H55E31)

ideals-creation

   Creation of Ideals (ALGEBRAIC FUNCTION FIELDS)

ideals-prime

   Functions on Prime Ideals (ALGEBRAIC FUNCTION FIELDS)

ideals-roots

   Roots of Ideals (ALGEBRAIC FUNCTION FIELDS)

IdealWithFixedBasis

   IdealWithFixedBasis(B) : [ RngMPolElt ] -> RngMPol

Idempotent

   Idempotent(C) : Code -> RngUPolElt
   IdempotentActionGenerators(B, i) : AlgBas, RngIntElt -> SeqEnum
   IdempotentGenerators(B) : AlgBas -> SeqEnum
   IdempotentPositions(B) : AlgBas -> SeqEnum
   IsIdempotent(a) : AlgGenElt -> BoolElt
   IsIdempotent(x) : RngElt -> BoolElt
   NonIdempotentActionGenerators(B, i) : AlgBas, RngIntElt -> SeqEnum
   NonIdempotentGenerators(B) : AlgBas -> SeqEnum
   PrimitiveIdempotentData(A) : AlgMat -> SeqEnum, Map, SeqEnum

IdempotentActionGenerators

   IdempotentActionGenerators(B, i) : AlgBas, RngIntElt -> SeqEnum

IdempotentGenerators

   IdempotentGenerators(B) : AlgBas -> SeqEnum

IdempotentPositions

   IdempotentPositions(B) : AlgBas -> SeqEnum

Idempotents

   ChineseRemainderTheorem(I1, L1, e1, L2) : RngOrdIdl, [RngIntElt], RngOrdElt, [RngIntElt] -> RngOrdElt
   Idempotents(I, J) : RngOrdIdl, RngOrdIdl -> BoolElt, RngOrdElt, RngOrdElt
   CRT(I1, L1, e1, L2) : RngOrdIdl, [RngIntElt], RngOrdElt, [RngIntElt] -> RngOrdElt
   CentralIdempotents(A) : AlgAssV -> SeqEnum, SeqEnum
   PrimitiveIdempotents(A) : AlgMat -> SeqEnum
   RanksOfPrimitiveIdempotents(A) : AlgMat -> SeqEnum

idempotents

   Quotients and Idempotents (MATRIX ALGEBRAS)

Identical

   AreIdentical(u, v: parameters) : GrpBrdElt, GrpBrdElt -> BoolElt
   IsIdentical(R, F) : RngDiff, RngDiff -> BoolElt
   IsIdentical(R, F) : RngDiffOp, RngDiffOp -> BoolElt
   IsIdentical(f, g) : RngSerElt, RngSerElt -> BoolElt
   IsIdenticalPresentation(G, H) : GrpGPC, GrpGPC -> BoolElt
   IsIdenticalPresentation(G, H) : GrpPC, GrpPC -> BoolElt

Identification

   IdentificationNumber(D, i): DB, RngIntElt -> RngIntElt
   PrimitiveGroupIdentification(G) : GrpPerm -> RngIntElt, RngIntElt
   TransitiveGroupIdentification(G) : GrpPerm -> RngIntElt, RngIntElt
   TwoTransitiveGroupIdentification(G) : GrpPerm -> Tup

identification

   Identification (PERMUTATION GROUPS)
   Identification as a Permutation Group (PERMUTATION GROUPS)
   Identification as an Abstract Group (PERMUTATION GROUPS)
   Small Group Identification (FINITELY PRESENTED GROUPS)

identification-abstract

   Identification as an Abstract Group (PERMUTATION GROUPS)

identification-permutation

   Identification as a Permutation Group (PERMUTATION GROUPS)

IdentificationNumber

   IdentificationNumber(D, i): DB, RngIntElt -> RngIntElt

identifier

   Identifier Classes (MAGMA SEMANTICS)
   Identifier names (OVERVIEW)
   Identifiers (STATEMENTS AND EXPRESSIONS)
   Identifiers and variables (OVERVIEW)
   Uninitialized Identifiers (MAGMA SEMANTICS)

identifier-class

   Identifier Classes (MAGMA SEMANTICS)

Identifiers

   ShowIdentifiers() : ->
   State_Identifiers (Example H1E1)

Identify

   CanIdentifyGroup(o) : RngIntElt -> BoolElt
   IdentifyAlmostSimpleGroup(G) : GrpPerm -> Map, GrpPerm
   IdentifyGroup(G): Grp -> Tup
   IdentifyGroup(G): GrpFP -> Tup
   IdentifyOneCocycle(CM, s) : ModCoho, UserProgram -> ModTupRngElt
   IdentifyTwoCocycle(CM, s) : ModCoho, UserProgram -> ModTupRngElt
   IdentifyZeroCocycle(CM, s) : ModCoho, SeqEnum -> ModTupRngElt


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