quit; quit; quit; quit; quit; ring r = 0,(X(1..30)),ds; ideal i = maxideal(50); qring Q = i; setring Q; reduce(x(1)^51); reduce(X(1)^51); reduce(X(1)^51,ideal(0)); reduce(X(1)^51,std(ideal(0))); basering; Q = std(Q); nameof(basering); std(X(1)^51); setring r; qring q2 = std(maxideal(50)); setring q2; reduce(X(1)^51,std(0)); basering; quit; ring r = 0,(x(1..8)),ds; ideal i = maxideal(50); ring r = 0,(x(1..8)),ds; ideal i = maxideal(10); i; qring q = std(i); ring r = 0,(x(1..)),ds; ideal i = maxideal(5); ring r = 0,(x(1..3)),ds; ideal i = maxideal(20); ideal i = maxideal(40); qring q = std(i); basering; setring r; ring r = 0,(x(1..6)),ds; ideal i = maxideal(40); qring q = std(i); LIB"AeCodPruebas.lib"; ring r = 0,(x,y),ds; ideal f = x,y2,y3+xy; AeNormal(f,maxideal(4)); LIB"AeCodPruebas.lib"; def Q = MalgrRing(ideal(0),2, ideal f = x,y2,y3+xy; def Q = MalgrRing(ideal(0),2,ideal(x,y2)); setring Q; def f = imap(r,f); setring r; matrix jf = jacob(f); setring Q; def jf = imap(r,jf); print(jf); jf[1]; MalgrFormVect(jf[1]); ; print(jf); jf[1]; MalgrFormVect(jf[1], maxOX^5); quit; quit; quit; quit; quit; quit; quit; quit; quit; setring r; f; AeNormal(f); AeNormal(f); quit; ring r; quit; ; AeNormal(f,maxideal(5)); AeNormal(f); quit; ; quit; ; quit; quit; ; quit; quit; LIB"AeCodPruebas.lib"; ring r = 0,(x,y),ds; ideal f = x,y2,x3y+xy3,y5; AeNormal(f); ring s = 0,(x,y,a,b),ds; ideal i = x-a,y-b; reduce(xy3+x3y-ab3-a3b,std(i)); lift(i,xy3+x3y-ab3-a3b); ring r = 0,(x,y,a,b),ds; ideal f = x-a,y2-b2,x3y+xy3-a3b-ab3,y5-b5; qring q = std(f); basering; ideal i = x-a,y-b; std(i); kbase(i); kbase(std(i)); dim(y-b); dim(std(i)); vdim(std(i)); i; i = std(i); i; ideal z = std(0); reduce(i,z); reduce(i*maxideal(1),z); reduce(i*maxideal(4),z); reduce(i*maxideal(10),z); reduce(i*maxideal(5),z); reduce(i*maxideal(6),z); reduce(i*maxideal(5),z); reduce(i*maxideal(1),z); reduce(i*maxideal(2),z); setring r; f; ring R = 0,(x,y,b),ds; ideal f = y+b,x*(y2+yb+b2)+x3,y4+y3b+y2b2+yb3+b4; kbase(std(f)); quit ;