Singular Manual: rightstd (letterplace)

  | ### 7.8.3 rightstd (letterplace) `Syntax:` `rightstd(` ideal_expression`)`; `Type:` ideal `Purpose:` Compute a right Groebner basis of the set of generators of the input ideal. It is also effective in factor rings.
      LIB "freegb.lib";
      ring r = 0,(x,z),dp;
      def R = freeAlgebra(r,7); setring R;
      ideal I = z,x*z,x*x*z;
      rightstd(I); // a right GB of I in K<x,z>
      ==> _[1]=z
      ==> _[2]=x*z
      ==> _[3]=x*x*z
      qring Q = twostd(x*z); // now we change to the factor algebra modulo x*z
      ideal I = imap(R,I);
      rightstd(I); // a right GB in a factor algebra
      ==> _[1]=z
      reduce(I,twostd(0)); // an explanation for the latter
      ==> _[1]=z
      ==> _[2]=0
      ==> _[3]=0

User manual for Singular version 4-1-2p4, 2020, generated by texi2html.