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Subindex: module  ..  Modulus


module

   Action on the Natural G-Module (MATRIX GROUPS)
   Arithmetic with Modules (MODULES OVER DEDEKIND DOMAINS)
   Construction of a Module with Specified Basis (FREE MODULES)
   Construction of an A-Module (MODULES OVER A MATRIX ALGEBRA)
   Construction of K[G]-Modules (K[G]-MODULES AND GROUP REPRESENTATIONS)
   Construction of Modules of m x n Matrices (FREE MODULES)
   Construction of Modules of n-tuples (FREE MODULES)
   Constructions for K[G]-Modules (MODULES OVER A MATRIX ALGEBRA)
   Definition of a Module (FREE MODULES)
   Finitely Presented Modules (FINITELY PRESENTED ALGEBRAS)
   Functions for Polynomial Algebra and Module Generators (IDEAL THEORY AND GRÖBNER BASES)
   Galois Module Structure (CLASS FIELD THEORY)
   General Constructions (MODULES OVER A MATRIX ALGEBRA)
   General K[G]-Modules (K[G]-MODULES AND GROUP REPRESENTATIONS)
   Minimalization and Homogeneous Module Testing (INVARIANT RINGS OF FINITE GROUPS)
   Modules (OVERVIEW)
   Modules Hom_(R)(M, N) with Given Basis (FREE MODULES)
   Natural K[G]-Modules (K[G]-MODULES AND GROUP REPRESENTATIONS)
   SUPERSINGULAR DIVISORS ON MODULAR CURVES
   Syzygy Modules (IDEAL THEORY AND GRÖBNER BASES)
   The Module of an Invariant Ring (INVARIANT RINGS OF FINITE GROUPS)
   FldFunG_module (Example H57E22)

module-arith

   Arithmetic with Modules (MODULES OVER DEDEKIND DOMAINS)

module-diff

   FldFunG_module-diff (Example H57E39)

module-integers

   GrpCoh_module-integers (Example H23E6)

module-lattice

   Modules (OVERVIEW)

module-with-basis

   Construction of a Module with Specified Basis (FREE MODULES)
   Modules Hom_(R)(M, N) with Given Basis (FREE MODULES)

ModuleMap

   ModuleMap(f, n) : ModMatCpxElt, RngIntElt -> ModMatFldElt

ModuleMaps

   GrpGPC_ModuleMaps (Example H28E16)

ModuleOverSmallerField

   ModuleOverSmallerField(M, F) : ModGrp, FldFin -> ModGrp

Modules

   AbsoluteModulesOverMinimalField(Q, K) : [ ModGrp ], FldFin -> [ ModGrp ]
   AbsolutelyIrreducibleModulesBurnside(G, K : parameters ) : Grp, FldFin -> [ ModGrp ]
   AbsolutelyIrreducibleModulesSchur(G, K: parameters) : GrpPC, Rng -> List[GModule]
   AbsolutelyIrreducibleRepresentationsInit(G, F : parameters) : GrpPC, Fld -> SolRepProc
   AbsolutelyIrreducibleRepresentationsSchur(G, k: parameters) : GrpPC, Rng -> List[Map]
   DimensionsOfInjectiveModules(B) : AlgBas -> SeqEnum
   DimensionsOfProjectiveModules(B) : AlgBas -> SeqEnum
   GetModules(SQP, p ) : SQProc, RngIntElt -> List
   IrreducibleModules(G, K : parameters) : Grp, Fld -> Seqenum
   IrreducibleModulesBurnside(G, K : parameters ) : Grp, FldFin -> [ ModGrp ]
   IrreducibleModulesSchur(G, K: parameters) : GrpPC, Rng -> List[GModule]
   IrreducibleRepresentationsSchur(G, k: parameters) : GrpPC, Rng -> List[Map]
   Modules(SQP : parameters): SQProc ->
   ModulesOverCommonField(M, N) : ModGrp, ModGrp -> ModGrp, ModGrp
   ModulesOverSmallerField(Q, F) : SeqEnum, FldFin -> ModGrp
   PrintModules(SQP) : SQProc ->
   Grp_Modules (Example H16E18)

modules

   Brandt Module Creation (BRANDT MODULES)
   BRANDT MODULES
   Free Modules (FREE MODULES)
   Generic Functions for Finding Irreducible Modules (K[G]-MODULES AND GROUP REPRESENTATIONS)
   Indecomposable Projective Modules (BASIC ALGEBRAS)
   Injective Modules (BASIC ALGEBRAS)
   Irreducible Modules (FINITELY PRESENTED GROUPS: ADVANCED)
   Modules (OVERVIEW)
   MODULES OVER AFFINE ALGEBRAS
   Modules over Basic Algebras (BASIC ALGEBRAS)
   MODULES OVER DEDEKIND DOMAINS
   Permutation Modules (K[G]-MODULES AND GROUP REPRESENTATIONS)
   The Burnside Algorithm (K[G]-MODULES AND GROUP REPRESENTATIONS)
   The Construction of all Irreducible Modules (K[G]-MODULES AND GROUP REPRESENTATIONS)
   The Schur Algorithm for Soluble Groups (K[G]-MODULES AND GROUP REPRESENTATIONS)

modules-affine-algebras

   MODULES OVER AFFINE ALGEBRAS

ModulesOverCommonField

   ModulesOverCommonField(M, N) : ModGrp, ModGrp -> ModGrp, ModGrp

ModulesOverSmallerField

   ModulesOverSmallerField(Q, F) : SeqEnum, FldFin -> ModGrp

Moduli

   Moduli(M) : ModTupRng -> [ RngElt ]
   ModuliPoints(X,E) : CrvMod, CrvEll -> SeqEnum

Moduli points

   CrvMod_Moduli points (Example H93E1)

ModuliPoints

   ModuliPoints(X,E) : CrvMod, CrvEll -> SeqEnum

modulo

   Rings, Fields, and Algebras (OVERVIEW)

Modulus

   BlumBlumShubModulus(b) : RngIntElt -> RngIntElt
   BBSModulus(b) : RngIntElt -> RngIntElt
   CongruenceModulus(M : parameters) : ModSym -> RngIntElt
   FactoredModulus(R) : RngIntRes -> RngIntEltFact
   Modulus(c) : FldComElt -> FldReElt
   Modulus(R) : RngIntRes -> RngInt
   Modulus(OQ) : RngOrdRes -> RngOrdIdl
   Modulus(Q) : RngUPolRes -> RngUPolElt


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