Given a noncommutative ring A, this creates a noncommutative ring whose defining ideal is generated by the "opposites" - elements whose noncommutative monomial terms have been reversed - of the generators of the defining ideal of A.
i1 : R = QQ[q]/ideal{q^4+q^3+q^2+q+1}
o1 = R
o1 : QuotientRing
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i2 : A = skewPolynomialRing(R,q,{x,y,z,w})
Using GC ring in VectorArithmetic.
o2 = A
o2 : FreeAlgebraQuotient
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i3 : x*y == q*y*x o3 = true |
i4 : Aop = oppositeRing A Using GC ring in VectorArithmetic. o4 = Aop o4 : FreeAlgebraQuotient |
i5 : y*x == q*x*y o5 = true |
The object oppositeRing is a method function.