Singular Manual: SScontinue

| #### D.2.12.7 SScontinue Procedure from library `schreyer.lib` (see schreyer_lib). Usage: SScontinue(l) Return: nothing, instead it changes RES and MRES variables in the current ring Purpose: computes further (at most l) syzygies Note: must be used within a ring returned by Sres or Ssyz. RES and MRES are explained in Sres Example:
    LIB "schreyer.lib";
    ring r;
    module M = maxideal(1); M;
    ==> M[1]=x*gen(1)
    ==> M[2]=y*gen(1)
    ==> M[3]=z*gen(1)
    def S = SSsyz(M); setring S; S;
    ==> //   characteristic : 32003
    ==> //   number of vars : 3
    ==> //        block   1 : ordering dp
    ==> //                  : names    x y z
    ==> //        block   2 : ordering C
    "Only the first syzygy: ";
    ==> Only the first syzygy:
    RES; MRES;
    ==> [1]:
    ==>    _[1]=0
    ==> [2]:
    ==>    _[1]=x*gen(1)
    ==>    _[2]=y*gen(1)
    ==>    _[3]=z*gen(1)
    ==> [3]:
    ==>    _[1]=x*gen(3)-y*gen(2)
    ==>    _[2]=x*gen(4)-z*gen(2)
    ==>    _[3]=y*gen(4)-z*gen(3)
    ==> MRES[1]=0
    ==> MRES[2]=x*gen(1)
    ==> MRES[3]=y*gen(1)
    ==> MRES[4]=z*gen(1)
    ==> MRES[5]=x*gen(3)-y*gen(2)
    ==> MRES[6]=x*gen(4)-z*gen(2)
    ==> MRES[7]=y*gen(4)-z*gen(3)
    "More syzygies: ";
    ==> More syzygies:
    SScontinue(10);
    RES; MRES;
    ==> [1]:
    ==>    _[1]=0
    ==> [2]:
    ==>    _[1]=x*gen(1)
    ==>    _[2]=y*gen(1)
    ==>    _[3]=z*gen(1)
    ==> [3]:
    ==>    _[1]=x*gen(3)-y*gen(2)
    ==>    _[2]=x*gen(4)-z*gen(2)
    ==>    _[3]=y*gen(4)-z*gen(3)
    ==> [4]:
    ==>    _[1]=x*gen(7)-y*gen(6)+z*gen(5)
    ==> [5]:
    ==>    _[1]=0
    ==> MRES[1]=0
    ==> MRES[2]=x*gen(1)
    ==> MRES[3]=y*gen(1)
    ==> MRES[4]=z*gen(1)
    ==> MRES[5]=x*gen(3)-y*gen(2)
    ==> MRES[6]=x*gen(4)-z*gen(2)
    ==> MRES[7]=y*gen(4)-z*gen(3)
    ==> MRES[8]=x*gen(7)-y*gen(6)+z*gen(5)
    ==> MRES[9]=0

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