i1 : A = skewPolynomialRing(QQ,(-1)_QQ,{w,x,y,z}) --Calling Bergman for NCGB calculation. --running: bergman -i /var/folders/46/9b86vqxj4hjcngvy7kd7sb140000gn/T/M2-12677-0/0.init -on-error exit --silent > /var/folders/46/9b86vqxj4hjcngvy7kd7sb140000gn/T/M2-12677-0/3.ter ... Complete! o1 = A o1 : NCQuotientRing |
i2 : B = QQ{a,b,c} o2 = B o2 : NCPolynomialRing |
i3 : f = ncMap(B,A,{a^3,b^2,a+b,a-b}) o3 = NCRingMap B <--- A o3 : NCRingMap |
i4 : f(w*x+2*y) 3 2 o4 = 2b+a b +2a o4 : B |
i5 : f basis(2,A) | 6 3 2 4 3 4 3 2 2 2 3 4 3 2 2 2 2 2 | o5 = | a a b b a b+a b +b a b +ba+ab+a -a b+a -b +b a -b +ba-ab+a b -ba-ab+a | o5 : NCMatrix |