Macaulay2
»
Documentation
Packages
»
Binomials
::
Index
next | previous | forward | backward | up |
index
|
toc
Binomials : 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
BCD
-- Binomial Cellular Decomposition
binomialAssociatedPrimes
-- Associated primes of a binomial ideal
binomialCellularDecomposition
-- Binomial Cellular Decomposition
binomialCellularDecomposition(...,ReturnCellVars=>...)
-- Binomial Cellular Decomposition
binomialCellularDecomposition(...,Verbose=>...)
-- generate informative output
binomialCellularDecomposition(Ideal)
-- Binomial Cellular Decomposition
binomialIsPrimary
-- test for primary binomial ideals
binomialIsPrime
-- test for primeness of a binomial ideal
binomialIsPrime(...,CellVariables=>...)
-- cellular variables
binomialIsPrime(Ideal)
-- test for primeness of a binomial ideal
binomialMinimalPrimes
-- minimal primes of a binomial Ideal
binomialMinimalPrimes(...,Verbose=>...)
-- generate informative output
binomialMinimalPrimes(Ideal)
-- minimal primes of a binomial Ideal
binomialPrimaryDecomposition
-- Binomial Primary Decomposition
binomialPrimaryDecomposition(...,Verbose=>...)
-- generate informative output
binomialPrimaryDecomposition(Ideal)
-- Binomial Primary Decomposition
binomialRadical
-- Radical of a binomial ideal
Binomials
-- a package for binomial ideals
binomialSolve
-- solving zero-dimensional binomial Ideals
binomialUnmixedDecomposition
-- Binomial Unmixed Decomposition
binomialUnmixedDecomposition(...,Verbose=>...)
-- generate informative output
binomialUnmixedDecomposition(Ideal)
-- Binomial Unmixed Decomposition
BPD
-- Binomial Primary Decomposition
BUD
-- Binomial Unmixed Decomposition
cellularBinomialAssociatedPrimes
-- Associated primes of a cellular binomial ideal
cellularBinomialAssociatedPrimes(...,CellVariables=>...)
-- cellular variables
cellularBinomialAssociatedPrimes(...,Verbose=>...)
-- generate informative output
cellularBinomialAssociatedPrimes(Ideal)
-- Associated primes of a cellular binomial ideal
cellularBinomialIsPrimary
-- test for primaryness of a binomial ideal
cellularBinomialIsPrimary(...,CellVariables=>...)
-- cellular variables
cellularBinomialIsPrimary(...,ReturnPChars=>...)
-- return two partial characters
cellularBinomialIsPrimary(...,ReturnPrimes=>...)
-- return two associated primes
cellularBinomialIsPrimary(Ideal)
-- test for primaryness of a binomial ideal
cellularBinomialPrimaryDecomposition
-- Primary decomposition of a cellular binomial ideal
cellularBinomialPrimaryDecomposition(...,CellVariables=>...)
-- cellular variables
cellularBinomialPrimaryDecomposition(...,Verbose=>...)
-- generate informative output
cellularBinomialPrimaryDecomposition(Ideal)
-- Primary decomposition of a cellular binomial ideal
cellularBinomialRadical
-- Radical of a cellular binomial ideal
cellularBinomialRadical(...,CellVariables=>...)
-- cellular variables
cellularBinomialRadical(Ideal)
-- Radical of a cellular binomial ideal
cellularBinomialUnmixedDecomposition
-- Unmixed decomposition of a cellular binomial ideal
cellularBinomialUnmixedDecomposition(...,CellVariables=>...)
-- cellular variables
cellularBinomialUnmixedDecomposition(...,Verbose=>...)
-- generate informative output
cellularBinomialUnmixedDecomposition(Ideal)
-- Unmixed decomposition of a cellular binomial ideal
CellVariables
-- cellular variables
extractInclusionMinimalIdeals
-- Extract inclusion minimal ideals from a list of ideals
extractInclusionMinimalIdeals(...,Verbose=>...)
-- generate informative output
extractInclusionMinimalIdeals(List)
-- Extract inclusion minimal ideals from a list of ideals
idealFromCharacter
-- Generate a lattice ideal from a character.
idealFromCharacter(Ring,PartialCharacter)
-- Generate a lattice ideal from a character.
isBinomial
-- testing for unital binomial ideals
isCellular
-- testing for cellular binomial ideals
isCellular(...,ReturnCellVars=>...)
-- return the cellular variables
isCellular(Ideal)
-- testing for cellular binomial ideals
isUnital
-- testing for unital binomial ideals
latticeBasisIdeal
-- construct the ideal whose generators correspond to generators of an integer lattice
makeBinomial
-- make a binomial from an exponent vector and a coefficient
PartialCharacter
-- the class of all partial characters
partialCharacter
-- Computing the partial character of a cellular binomial ideal
partialCharacter(...,CellVariables=>...)
-- cellular variables
partialCharacter(Ideal)
-- Computing the partial character of a cellular binomial ideal
randomBinomialIdeal
-- Random Binomial Ideals
ReturnCellVars
-- return the cellular variables
ReturnPChars
-- return two partial characters
ReturnPrimes
-- return two associated primes