# Singular

#### 7.2.3.4 module related functions (plural)

`eliminate`
elimination of variables (see eliminate (plural))
`freemodule`
the free module of given rank (see freemodule)
`intersect`
module intersection (see intersect (plural))
`kbase`
vector space basis of free module over the basering modulo the module of leading terms (see kbase (plural))
`lead`
initial module (see lead)
`lift`
lift-matrix (see lift (plural))
`liftstd`
left Groebner basis and transformation matrix computation (see liftstd (plural))
`modulo`
represents (see modulo (plural))
`mres`
minimal free resolution of a module and a minimal set of generators of the given ideal module (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))
`nrows`
number of rows (see nrows)
`oppose`
creates an opposite module of a given module from the given ring into a basering (see oppose)
`print`
nice print format (see print)
`prune`
minimize the embedding into a free module (see prune)
`quotient`
module quotient (see quotient (plural))
`reduce`
left normal form with respect to a left Groebner basis (see reduce (plural))
`simplify`
simplify a set of vectors (see simplify)
`size`
number of non-zero generators (see size)
`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))
`vdim`
vector space dimension of free module over the basering modulo module of leading terms (see vdim (plural))