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Subindex: HomogeneousComponent  ..  homomorphism


HomogeneousComponent

   HomogeneousComponent(f, d) : RngMPolElt, RngIntElt -> RngMPolElt

HomogeneousComponents

   HomogeneousComponents(f) : RngMPolElt -> [ RngMPolElt ]

HomogeneousModuleTest

   HomogeneousModuleTest(P, S, F) : [ RngMPol ], [ RngMPol ], RngMPol -> BoolElt, [ RngMPol ]
   HomogeneousModuleTest(P, S, F) : [ RngMPol ], [ RngMPol ], RngMPol -> BoolElt, [ RngMPol ]
   HomogeneousModuleTest(P, S, L) : [ RngMPol ], [ RngMPol ], [ RngMPol ] -> [ BoolElt ], [ [ RngMPol ] ]
   HomogeneousModuleTest(P, S, L) : [ RngMPol ], [ RngMPol ], [ RngMPol ] -> [ BoolElt ], [ [ RngMPol ] ]

HomogeneousModuleTest1

   GB_HomogeneousModuleTest1 (Example H94E31)

HomogeneousModuleTest2

   RngInvar_HomogeneousModuleTest2 (Example H81E14)

HomogeneousModuleTestBasis

   HomogeneousModuleTestBasis(P, S, L) : [ RngMPol ], [ RngMPol ], [ RngMPol ] -> [ BoolElt ], [ [ RngMPol ] ]

HomogeneousToElementaryMatrix

   HomogeneousToElementaryMatrix(n): RngIntElt -> AlgMatElt

HomogeneousToMonomialMatrix

   HomogeneousToMonomialMatrix(n): RngIntElt -> AlgMatElt

HomogeneousToPowerSumMatrix

   HomogeneousToPowerSumMatrix(n): RngIntElt -> AlgMatElt

HomogeneousToSchurMatrix

   HomogeneousToSchurMatrix(n): RngIntElt -> AlgMatElt

Homogenization

   Homogenization(I, b) : RngMPol, RngIntElt, BoolElt -> RngMPol, Map

homogenization

   Homogenization of Ideals (IDEAL THEORY AND GRÖBNER BASES)

Homological

   HomologicalDimension(M) : ModMPol -> RngInt
   HomologicalDimension(R) : RngInvar -> RngInt

HomologicalDimension

   HomologicalDimension(M) : ModMPol -> RngInt
   HomologicalDimension(R) : RngInvar -> RngInt

Homology

   DimensionOfHomology(C, n) : ModCpx, RngIntElt -> RngIntElt
   DimensionsOfHomology(C) : ModCpx -> SeqEnum
   Homology(A) : ModAbVar -> ModAbVarHomol
   Homology(C) : ModCpx -> SeqEnum
   Homology(C, n) : ModCpx, RngIntElt -> SeqEnum
   HomologyBasis(A) : AnHcJac -> SeqEnum, SeqEnum, Mtrx
   InducedMapOnHomology(f, n) : MapChn, RngIntElt -> ModTupFldElt
   IntegralHomology(A) : ModAbVar -> Lat
   LongExactSequenceOnHomology(f, g) : MapChn, MapChn -> ModCpx
   ModularSymbolToIntegralHomology(A, x) : ModAbVar, SeqEnum -> ModTupFldElt
   ModularSymbolToRationalHomology(A, x) : ModAbVar, ModSymElt -> ModTupFldElt
   RationalHomology(A) : ModAbVar -> ModTupFld
   RealHomology(A) : ModAbVar -> ModTupFld
   SimpleHomologyDimensions(M) : ModAlg -> SeqEnum

homology

   Homology (MODULAR ABELIAN VARIETIES)

Homology-Creation

   ModAbVar_Homology-Creation (Example H112E44)

Homology-Functors_to_Categories_of_Lattices_and_Vector_Spaces

   ModAbVar_Homology-Functors_to_Categories_of_Lattices_and_Vector_Spaces (Example H112E47)

Homology-Functors_to_Categories_of_Lattices_and_Vector_Spaces2

   ModAbVar_Homology-Functors_to_Categories_of_Lattices_and_Vector_Spaces2 (Example H112E48)

Homology-Invariants

   ModAbVar_Homology-Invariants (Example H112E45)

Homology-Modular_Structure

   ModAbVar_Homology-Modular_Structure (Example H112E49)

homology1

   ModAbVar_homology1 (Example H112E50)
   ModAbVar_homology1 (Example H112E86)

HomologyBasis

   HomologyBasis(A) : AnHcJac -> SeqEnum, SeqEnum, Mtrx

homologymaps

   Maps on Homology (CHAIN COMPLEXES)

HomologyOfChainComplex

   HomologyOfChainComplex(C) : ModCpx -> SeqEnum
   Homology(C) : ModCpx -> SeqEnum

Homomorphism

   ConnectingHomomorphism(f, g, n) : MapChn, MapChn, RngIntElt -> ModMatRngElt
   DefinesHomomorphism(P) : GrpFPHomsProc -> BoolElt
   GroupOfLieTypeHomomorphism(phi, k) : Map, Rng -> .
   GroupOfLieTypeHomomorphism(phi, k) : Map, Rng -> GrpLie
   Homomorphism(A, B, X, Y) : Grp, Grp, [ GrpElt ], [ GrpElt ] -> Map
   Homomorphism(P) : GrpFPHomsProc -> HomGrp
   IdentityHomomorphism(G) : Grp -> Map
   IdentityHomomorphism(G) : GrpPC -> Map
   IsHomomorphism(G, H, Q) : GrpMat, GrpMat, SeqEnum[GrpMatElt] -> Bool, Map
   IsHomomorphism(G, H, L) : GrpPC, GrpPC, SeqEnum -> BoolElt, Map
   IsHomomorphism(G, H, Q) : GrpPerm, GrpPerm, SeqEnum[GrpPermElt] -> Bool, Map
   IsModuleHomomorphism(f) : ModMatFldElt -> BoolElt
   IsModuleHomomorphism(X) : ModMatFldElt -> BoolElt
   IsRingHomomorphism(m) : Map -> BoolElt
   IsRingHomomorphism(m) : Map -> BoolElt
   LiftHomomorphism(x, n) : ModAlgElt, RngIntElt -> ModMatFldElt
   LiftHomomorphism(X, N) : SeqEnum[ModAlgElt], SeqEnum[RngIntElt] -> ModMatFldElt
   AlgFP_Homomorphism (Example H74E1)
   FldFunRat_Homomorphism (Example H54E2)
   GrpFP_1_Homomorphism (Example H30E17)
   GrpGPC_Homomorphism (Example H32E4)
   GrpMatGen_Homomorphism (Example H20E5)
   GrpPerm_Homomorphism (Example H19E6)
   RngMPol_Homomorphism (Example H43E3)
   RngPol_Homomorphism (Example H42E4)

homomorphism

   Action on a G-Space (PERMUTATION GROUPS)
   Algebraic homomorphisms (GROUPS OF LIE TYPE)
   Coset Spaces: Induced Homomorphism (FINITELY PRESENTED GROUPS)
   Creating Homomorphisms (MODULES OVER AN ALGEBRA)
   Creation of Homomorphisms (MAPPINGS)
   Creation of Homomorphisms (ORDERS AND ALGEBRAIC FIELDS)
   Elements of M_n as Homomorphisms (MATRIX ALGEBRAS)
   Hom(M, N) (MODULES OVER AN ALGEBRA)
   Homomorphisms (AUTOMATIC GROUPS)
   Homomorphisms (BRAID GROUPS)
   Homomorphisms (FINITE FIELDS)
   Homomorphisms (FINITELY PRESENTED ALGEBRAS)
   Homomorphisms (FINITELY PRESENTED GROUPS)
   Homomorphisms (GROUPS DEFINED BY REWRITE SYSTEMS)
   Homomorphisms (GROUPS)
   Homomorphisms (MAPPINGS)
   Homomorphisms (MATRIX GROUPS OVER GENERAL RINGS)
   Homomorphisms (MODULES OVER AN ALGEBRA)
   Homomorphisms (MONOIDS GIVEN BY REWRITE SYSTEMS)
   Homomorphisms (MULTIVARIATE POLYNOMIAL RINGS)
   Homomorphisms (OVERVIEW)
   Homomorphisms (PERMUTATION GROUPS)
   Homomorphisms (POLYCYCLIC GROUPS)
   Homomorphisms (RATIONAL FIELD)
   Homomorphisms (RATIONAL FUNCTION FIELDS)
   Homomorphisms (REAL AND COMPLEX FIELDS)
   Homomorphisms (RING OF INTEGERS)
   Homomorphisms (RING OF INTEGERS)
   Homomorphisms (UNIVARIATE POLYNOMIAL RINGS)
   Modules (OVERVIEW)
   Subgroups, Quotient Groups, Homomorphisms and Extensions (POLYCYCLIC GROUPS)
   Subspaces, Quotient Spaces and Homomorphisms (VECTOR SPACES)
   FldRat_homomorphism (Example H40E2)


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