Left GB's Quantum Algebra Maximal Ideal	Gröbner Bases for Left and Two-Sided Ideals - (1) ideal I2=e^2,f^2,h^2-1; ideal L2=std(I2); L2; // GB of left ideal ==> L2[1]=h2-1 L2[2]=fh-f L2[3]=f2 L2[4]=eh+e L2[5]=2ef-h2-h L2[6]=e2 ideal T2=system("twostd",I2); T2; // GB of two-sided ideal ==> T2[1]=h2-1 T2[2]=fh-f T2[3]=f2 T2[4]=eh+e T2[5]=2ef-h2-h T2[6]=e2 This shows that I2 is a two-sided ideal itself. Computations for I3
Sao Carlos, 08/02	http://www.singular.uni-kl.de