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5.1.93 minres

Syntax:
minres ( list_expression )
Type:
list
Syntax:
minres ( resolution_expression )
Type:
resolution
Purpose:
minimizes a free resolution of an ideal or module given by the list_expression, resp. resolution_expression.
Example:
 
  ring r1=32003,(x,y),dp;
  ideal i=x5+xy4,x3+x2y+xy2+y3;
  resolution rs=lres(i,0);
  rs;
==>   1       2       1       
==> r1 <--  r1 <--  r1
==> 
==> 0       1       2       
==> 
  list(rs);
==> [1]:
==>    _[1]=x3+x2y+xy2+y3
==>    _[2]=xy4
==> [2]:
==>    _[1]=xy4*gen(1)-x3*gen(2)-x2y*gen(2)-xy2*gen(2)-y3*gen(2)
  minres(rs);
==>   1       2       1       
==> r1 <--  r1 <--  r1
==> 
==> 0       1       2       
==> 
  list(rs);
==> [1]:
==>    _[1]=x3+x2y+xy2+y3
==>    _[2]=xy4
==> [2]:
==>    _[1]=xy4*gen(1)-x3*gen(2)-x2y*gen(2)-xy2*gen(2)-y3*gen(2)
See fres; mres; res; sres.