-
coeffs
matrix of coefficients (see coeffs)
-
degree
multiplicity, dimension and codimension of the module of leading terms (see degree)
-
diff
partial derivative (see diff)
-
dim
Krull dimension of free module over the basering modulo the module of leading terms (see dim)
-
eliminate
elimination of variables (see eliminate)
-
freemodule
the free module of given rank (see freemodule)
-
groebner
Groebner basis computation (a wrapper around std,stdhilb,stdfglm
,...)
(see groebner)
-
hilb
Hilbert function of a standard basis (see hilb)
-
homog
homogenization with respect to a variable (see homog)
-
interred
interreduction of a module (see interred)
-
intersect
module intersection (see intersect)
-
jet
Taylor series up to a given order (see jet)
-
kbase
vector space basis of free module over the basering modulo the module of
leading terms (see kbase)
-
lead
initial module (see lead)
-
lift
lift-matrix (see lift)
-
liftstd
standard basis and transformation matrix computation (see liftstd)
-
lres
free resolution (see lres)
-
minbase
minimal generating set of a homogeneous ideal, resp. module, or an ideal, resp. module,
over a local ring
-
modulo
represents
(see modulo)
-
mres
minimal free resolution of an ideal resp. module w.r.t. a minimal set of generators of the given module
(see mres)
-
mult
multiplicity, resp. degree, of the module of leading terms (see mult)
-
ncols
number of columns (see ncols)
-
nrows
number of rows (see nrows)
-
print
nice print format (see print)
-
prune
minimize the embedding into a free module (see prune)
-
qhweight
quasihomogeneous weights of an ideal, resp. module (see qhweight)
-
quotient
module 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 vectors (see simplify)
-
size
number of non-zero generators (see size)
-
sortvec
permutation for sorting ideals/modules (see sortvec)
-
sres
free resolution of a standard basis (see sres)
-
std
standard basis computation (see std, liftstd)
-
subst
substitute a ring variable (see subst)
-
syz
computation of the first syzygy module (see syz)
-
vdim
vector space dimension of free module over the basering modulo module
of leading terms (see vdim)
-
weight
"optimal" weights (see weight)