| ### 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 (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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