-
char_series
irreducible characteristic series (see char_series)
-
coeffs
matrix of coefficients (see coeffs)
-
contract
contraction by an ideal (see contract)
-
diff
partial derivative (see diff)
-
degree
multiplicity, dimension and codimension of the ideal of leading terms (see degree)
-
dim
Krull dimension of basering modulo the ideal of leading terms (see dim)
-
eliminate
elimination of variables (see eliminate)
-
facstd
factorizing Groebner basis algorithm (see facstd)
-
factorize
ideal of factors of a polynomial (see factorize)
-
fglm
Groebner basis computation from a Groebner basis w.r.t. a different
ordering (see fglm)
-
finduni
computation of univariate polynomials lying in a zero dimensional ideal
(see finduni)
-
groebner
Groebner basis computation (a wrapper around std,stdhilb,stdfglm
,...)
(see groebner)
-
highcorner
computes the smallest monomial not contained in the ideal.
The ideal has to be zero-dimensional.
(see highcorner)
-
homog
homogenization with respect to a variable (see homog)
-
hilb
Hilbert series of a standard basis (see hilb)
-
indepSet
sets of independent variables of an ideal (see indepSet)
-
interred
interreduction of an ideal (see interred)
-
intersect
ideal intersection (see intersect)
-
jacob
ideal of all partial derivatives resp. jacobian matrix (see jacob)
-
jet
Taylor series up to a given order (see jet)
-
kbase
vector space basis of basering modulo ideal of leading terms
(see kbase)
-
koszul
Koszul matrix (see koszul)
-
lead
leading terms of a set of generators (see lead)
-
lift
lift-matrix (see lift)
-
liftstd
standard basis and transformation matrix computation (see liftstd)
-
lres
free resolution for homogeneous ideals (see lres)
-
maxideal
power of the maximal ideal at 0 (see maxideal)
-
minbase
minimal generating set of a homogeneous ideal, resp. module, or an ideal, resp. module, in a local ring
(see minbase)
-
minor
set of minors of a matrix (see minor)
-
modulo
represents
(see modulo)
-
mres
minimal free resolution of an ideal resp. module w.r.t. a minimal set of generators of the given ideal resp. module
(see mres)
-
mstd
standard basis and minimal generating set of an ideal (see mstd)
-
mult
multiplicity, resp. degree, of the ideal of leading terms (see mult)
-
ncols
number of columns (see ncols)
-
preimage
preimage under a ring map (see preimage)
-
qhweight
quasihomogeneous weights of an ideal (see qhweight)
-
quotient
ideal quotient (see quotient)
-
reduce
normalform with respect to a standard basis (see reduce)
-
res
free resolution of an ideal resp. module but not changing the given ideal resp. module
(see res)
-
simplify
simplify a set of polynomials (see simplify)
-
size
number of non-zero generators (see size)
-
sortvec
permutation for sorting ideals resp. modules (see sortvec)
-
sres
free resolution of a standard basis (see sres)
-
std
standard basis computation (see std)
-
stdfglm
standard basis computation with fglm technique (see stdfglm)
-
stdhilb
Hilbert driven standard basis computation (see stdhilb
-
subst
substitute a ring variable (see subst)
-
syz
computation of the first syzygy module (see syz)
-
vdim
vector space dimension of basering modulo ideal of leading terms
(see vdim)
-
weight
optimal weights (see weight)