#### 7.2.1.4 ideal related functions (plural)

`dim`
  Gelfand-Kirillov dimension of basering modulo the ideal of leading terms (see dim (plural))
`eliminate`
  elimination of variables (see eliminate (plural))
`intersect`
  ideal intersection (see intersect (plural))
`kbase`
  vector space basis of basering modulo the leading ideal (see kbase (plural))
`lead`
  leading terms of a set of generators (see lead)
`lift`
  lift-matrix (see lift (plural))
`liftstd`
  left Groebner basis and transformation matrix computation (see liftstd (plural))
`maxideal`
  generators of a power of the maximal ideal at 0 (see maxideal)
`modulo`
  represents (see modulo (plural))
`mres`
  minimal free resolution of an ideal and a minimal set of generators of the given ideal (see mres (plural))
`ncols`
  number of columns (see ncols)
`nres`
  computes a free resolution of an ideal resp. module M which is minimized from the second free module on (see nres (plural))
`oppose`
  creates an opposite ideal of a given ideal from the given ring into a basering (see oppose)
`preimage`
  preimage under a ring map (see preimage (plural))
`quotient`
  ideal quotient (see quotient (plural))
`reduce`
  left normal form with respect to a left Groebner basis (see reduce (plural))
`simplify`
  simplify a set of polynomials (see simplify)
`size`
  number of non-zero generators (see size)
`slimgb`
  left Groebner basis computation with slim technique (see slimgb (plural))
`std`
  left Groebner basis computation (see std (plural))
`subst`
  substitute a ring variable (see subst (plural))
`syz`
  computation of the first syzygy module (see syz (plural))
`twostd`
  two-sided Groebner basis computation (see twostd)
`vdim`
  vector space dimension of basering modulo the leading ideal (see vdim (plural))

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