### 4.14.4 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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