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# PrimaryDecomposition : Index

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

- associated primes
- associatedPrimes -- find associated primes
- associatedPrimes(...,CodimensionLimit=>...) -- find associated primes
- associatedPrimes(...,MinimalGenerators=>...) -- find associated primes
- associatedPrimes(...,Strategy=>...) -- find associated primes
- associatedPrimes(Ideal) -- find associated primes
- associatedPrimes(Module) -- find associated primes
- associatedPrimes(Ring) -- find associated primes
- EisenbudHunekeVasconcelos
- GTZ
- Hybrid
- Increment -- find a primary component corresponding to an associated prime
- irreducibleDecomposition -- express a monomial ideal as an intersection of irreducible monomial ideals
- irreducibleDecomposition(MonomialIdeal) -- express a monomial ideal as an intersection of irreducible monomial ideals
- isPrimary -- determine whether a submodule is primary
- isPrimary(...,Strategy=>...) -- determine whether a submodule is primary
- isPrimary(Ideal) -- determine whether a submodule is primary
- isPrimary(Ideal,Ideal) -- determine whether a submodule is primary
- isPrimary(Module,Module) -- determine whether a submodule is primary
- kernelOfLocalization -- the kernel of the localization map
- kernelOfLocalization(Module,Ideal) -- the kernel of the localization map
- localize -- localize an ideal at a prime ideal
- localize(...,Strategy=>...) -- localize an ideal at a prime ideal
- localize(Ideal,Ideal) -- localize an ideal at a prime ideal
- primary decomposition
- primaryComponent -- find a primary component corresponding to an associated prime
- primaryComponent(...,Increment=>...) -- find a primary component corresponding to an associated prime
- primaryComponent(...,Strategy=>...) -- find a primary component corresponding to an associated prime
- primaryComponent(Ideal,Ideal) -- find a primary component corresponding to an associated prime
- PrimaryDecomposition -- primary decomposition and associated primes routines for ideals and modules
- primaryDecomposition -- irredundant primary decomposition of an ideal
- primaryDecomposition(...,MinimalGenerators=>...) -- irredundant primary decomposition of an ideal
- primaryDecomposition(...,Strategy=>...)
- primaryDecomposition(Ideal) -- irredundant primary decomposition of an ideal
- primaryDecomposition(Module) -- irredundant primary decomposition of a module
- primaryDecomposition(Ring) -- irredundant primary decomposition of a module
- regSeqInIdeal -- a regular sequence contained in an ideal
- regSeqInIdeal(...,Strategy=>...) -- a regular sequence contained in an ideal
- regSeqInIdeal(Ideal) -- a regular sequence contained in an ideal
- regSeqInIdeal(Ideal,ZZ) -- a regular sequence contained in an ideal
- regSeqInIdeal(Ideal,ZZ,ZZ,ZZ) -- a regular sequence contained in an ideal
- removeLowestDimension -- remove components of lowest dimension
- removeLowestDimension(Ideal) -- remove components of lowest dimension
- removeLowestDimension(Module) -- remove components of lowest dimension
- ShimoyamaYokoyama
- strategies for computing primary decomposition
- topComponents -- compute top dimensional component of an ideal or module
- topComponents(Ideal) -- compute top dimensional component of an ideal or module
- topComponents(Module) -- compute top dimensional component of an ideal or module
- topComponents(Module,ZZ) -- compute top dimensional component of an ideal or module