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4.13.4 module related functions

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)
fres
free resolution of a standard basis (see fres)
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 $(h1+h2)/h1=h2/(h1 \cap h2)$(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)
nres
computation of a free resolution of an ideal resp. module M which is minimized from the second free module on (see nres)
ncols
number of columns (see ncols)
nrows
number of rows (see nrows)
print
nice print format (see print)
prune
minimization of 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
simplification of 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
substitution of 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)


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