This function returns the algebra that contains A and B as a subalgebra, with the commutation law on the images of A and B given by a*b = q*b*a for all a in A and b in B. In the case of A ** B, q = 1.
i1 : A = QQ{x,y}
o1 = A
o1 : NCPolynomialRing
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i2 : B = skewPolynomialRing(QQ,(-1)_QQ, {a,b})
--Calling Bergman for NCGB calculation.
Complete!
o2 = B
o2 : NCQuotientRing
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i3 : C = qTensorProduct(A,B,-1_QQ) --Calling Bergman for NCGB calculation. Complete! --Calling Bergman for NCGB calculation. Complete! o3 = C o3 : NCQuotientRing |
i4 : ideal C
o4 = Two-sided ideal {ba+ab, ax+xa, bx+xb, ay+ya, by+yb}
o4 : NCIdeal
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i5 : D = A ** B --Calling Bergman for NCGB calculation. Complete! --Calling Bergman for NCGB calculation. Complete! o5 = D o5 : NCQuotientRing |
i6 : ideal D
o6 = Two-sided ideal {ba+ab, ax-xa, bx-xb, ay-ya, by-yb}
o6 : NCIdeal
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The object qTensorProduct is a method function.