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_skew__Polynomial__Ring.out
-- -*- M2-comint -*- hash: 12141152342658125546 i1 : R = QQ[q]/ideal{q^4+q^3+q^2+q+1} o1 = R o1 : QuotientRing i2 : M = matrix{{1,q,q},{q^4,1,1},{q^4,1,1}} o2 = | 1 q q | | -q3-q2-q-1 1 1 | | -q3-q2-q-1 1 1 | 3 3 o2 : Matrix R <-- R i3 : B = skewPolynomialRing(R,M,{x,y,z}) o3 = B o3 : NCQuotientRing i4 : x*y == q^4*y*x o4 = true i5 : N = matrix{{1,1,1,1},{1,1,1,1},{1,1,1,1},{1,1,1,1}} o5 = | 1 1 1 1 | | 1 1 1 1 | | 1 1 1 1 | | 1 1 1 1 | 4 4 o5 : Matrix ZZ <-- ZZ i6 : C = skewPolynomialRing(QQ,promote(N,QQ), {a,b,c,d}) --Calling Bergman for NCGB calculation. Complete! o6 = C o6 : NCQuotientRing i7 : isCommutative C o7 = true i8 : isCommutative B o8 = false i9 : Bop = oppositeRing B o9 = Bop o9 : NCQuotientRing i10 : y*x == q^4*x*y o10 = true i11 :