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5.1.96 nres

Syntax:
nres ( ideal_expression, int_expression )
nres ( module_expression, int_expression )
Type:
resolution
Purpose:
computes a free resolution of an ideal or module M which is minimized from the second module on (by the standard basis method).

More precisely, let then nres computes a free resolution of
where the columns of the matrix are the given set of generators of M. If the int expression k is not zero then the computation stops after k steps and returns a list of modules
nres(M,0) returns a list of n modules where n is the number of variables of the basering. Let list L=nres(M,0); then L[1]=M is identical to the input, L[2] is a minimal set of generators for the first syzygy module of L[1], etc. in the notations from above).

Example:
 
See hres; ideal; lres; module; mres; res; resolution; sres.

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