Singular Manual: prune

  | ### 5.1.122 prune `Syntax:` `prune (` module_expression `)` `Type:` module `Purpose:` returns the module minimally embedded in a free module such that the corresponding factor modules are isomorphic. `Note:` If for the input module the attribute `"isHomog"` is set, `prune` also sets the attribute `"isHomog"`. For non-global orderings, only reduction steps with constant units are performed. Hence, the returned module does not need to be minimal. `Note: The coefficiensts must be a field.` `Example:`
        ring r=0,(x,y,z),dp;
        module m=gen(1),gen(3),[x,y,0,z],[x+y,0,0,0,1];
        print(m);
      ==> 1,0,x,x+y,
      ==> 0,0,y,0,
      ==> 0,1,0,0,
      ==> 0,0,z,0,
      ==> 0,0,0,1
        print(prune(m));
      ==> y,
      ==> z
See module.

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